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Finding the Fourth Proportional to 2,552.46, 3,828.69 and 821.22

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Solution

The fourth proportional to 2,552.46, 3,828.69 and 821.22 is: 1,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.46 : 3,828.69 = 821.22 : x
  2. Step 2: Convert to fraction form
    2,552.46/3,828.69 = 821.22/x
  3. Step 3: Cross multiply
    2,552.46x = 3,828.69 × 821.22
  4. Step 4: Simplify right side
    2,552.46x = 3,144,196.80
  5. Step 5: Solve for x
    x = 3,144,196.80/2,552.46
  6. Step 6: Final answer
    x = 1,231.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.