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Finding the Fourth Proportional to 1,565.15, 2,159.96 and 902.14

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Solution

The fourth proportional to 1,565.15, 2,159.96 and 902.14 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.15 : 2,159.96 = 902.14 : x
  2. Step 2: Convert to fraction form
    1,565.15/2,159.96 = 902.14/x
  3. Step 3: Cross multiply
    1,565.15x = 2,159.96 × 902.14
  4. Step 4: Simplify right side
    1,565.15x = 1,948,586.31
  5. Step 5: Solve for x
    x = 1,948,586.31/1,565.15
  6. Step 6: Final answer
    x = 1,244.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.