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Finding the Fourth Proportional to 2,552.97, 3,829.15 and 798.10

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Solution

The fourth proportional to 2,552.97, 3,829.15 and 798.10 is: 1,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.97 : 3,829.15 = 798.10 : x
  2. Step 2: Convert to fraction form
    2,552.97/3,829.15 = 798.10/x
  3. Step 3: Cross multiply
    2,552.97x = 3,829.15 × 798.10
  4. Step 4: Simplify right side
    2,552.97x = 3,056,044.62
  5. Step 5: Solve for x
    x = 3,056,044.62/2,552.97
  6. Step 6: Final answer
    x = 1,197.05

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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.