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Finding the Fourth Proportional to 2,569.15, 3,853.74 and 814.12

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Solution

The fourth proportional to 2,569.15, 3,853.74 and 814.12 is: 1,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.15 : 3,853.74 = 814.12 : x
  2. Step 2: Convert to fraction form
    2,569.15/3,853.74 = 814.12/x
  3. Step 3: Cross multiply
    2,569.15x = 3,853.74 × 814.12
  4. Step 4: Simplify right side
    2,569.15x = 3,137,400.23
  5. Step 5: Solve for x
    x = 3,137,400.23/2,569.15
  6. Step 6: Final answer
    x = 1,221.18

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Half 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.