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Finding the Fourth Proportional to 2,377.15, 3,565.87 and 916.31

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Solution

The fourth proportional to 2,377.15, 3,565.87 and 916.31 is: 1,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.15 : 3,565.87 = 916.31 : x
  2. Step 2: Convert to fraction form
    2,377.15/3,565.87 = 916.31/x
  3. Step 3: Cross multiply
    2,377.15x = 3,565.87 × 916.31
  4. Step 4: Simplify right side
    2,377.15x = 3,267,422.22
  5. Step 5: Solve for x
    x = 3,267,422.22/2,377.15
  6. Step 6: Final answer
    x = 1,374.51

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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.