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Finding the Fourth Proportional to 2,502.56, 3,753.84 and 771.19

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Solution

The fourth proportional to 2,502.56, 3,753.84 and 771.19 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.56 : 3,753.84 = 771.19 : x
  2. Step 2: Convert to fraction form
    2,502.56/3,753.84 = 771.19/x
  3. Step 3: Cross multiply
    2,502.56x = 3,753.84 × 771.19
  4. Step 4: Simplify right side
    2,502.56x = 2,894,917.38
  5. Step 5: Solve for x
    x = 2,894,917.38/2,502.56
  6. Step 6: Final answer
    x = 1,156.78

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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.