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Finding the Fourth Proportional to 1,565.96, 2,161.06 and 902.88

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Solution

The fourth proportional to 1,565.96, 2,161.06 and 902.88 is: 1,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.96 : 2,161.06 = 902.88 : x
  2. Step 2: Convert to fraction form
    1,565.96/2,161.06 = 902.88/x
  3. Step 3: Cross multiply
    1,565.96x = 2,161.06 × 902.88
  4. Step 4: Simplify right side
    1,565.96x = 1,951,175.60
  5. Step 5: Solve for x
    x = 1,951,175.60/1,565.96
  6. Step 6: Final answer
    x = 1,246.00

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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.