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Finding the Fourth Proportional to 1,565.44, 2,159.78 and 902.06

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Solution

The fourth proportional to 1,565.44, 2,159.78 and 902.06 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.44 : 2,159.78 = 902.06 : x
  2. Step 2: Convert to fraction form
    1,565.44/2,159.78 = 902.06/x
  3. Step 3: Cross multiply
    1,565.44x = 2,159.78 × 902.06
  4. Step 4: Simplify right side
    1,565.44x = 1,948,251.15
  5. Step 5: Solve for x
    x = 1,948,251.15/1,565.44
  6. Step 6: Final answer
    x = 1,244.54

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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.