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Finding the Fourth Proportional to 2,377.71, 3,565.08 and 916.20

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Solution

The fourth proportional to 2,377.71, 3,565.08 and 916.20 is: 1,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.71 : 3,565.08 = 916.20 : x
  2. Step 2: Convert to fraction form
    2,377.71/3,565.08 = 916.20/x
  3. Step 3: Cross multiply
    2,377.71x = 3,565.08 × 916.20
  4. Step 4: Simplify right side
    2,377.71x = 3,266,326.30
  5. Step 5: Solve for x
    x = 3,266,326.30/2,377.71
  6. Step 6: Final answer
    x = 1,373.73

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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.