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Finding the Fourth Proportional to 1,565.58, 2,160.97 and 902.90

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Solution

The fourth proportional to 1,565.58, 2,160.97 and 902.90 is: 1,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.58 : 2,160.97 = 902.90 : x
  2. Step 2: Convert to fraction form
    1,565.58/2,160.97 = 902.90/x
  3. Step 3: Cross multiply
    1,565.58x = 2,160.97 × 902.90
  4. Step 4: Simplify right side
    1,565.58x = 1,951,139.81
  5. Step 5: Solve for x
    x = 1,951,139.81/1,565.58
  6. Step 6: Final answer
    x = 1,246.27

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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.