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Finding the Fourth Proportional to 2,360.87, 3,542.18 and 974.33

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Solution

The fourth proportional to 2,360.87, 3,542.18 and 974.33 is: 1,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.87 : 3,542.18 = 974.33 : x
  2. Step 2: Convert to fraction form
    2,360.87/3,542.18 = 974.33/x
  3. Step 3: Cross multiply
    2,360.87x = 3,542.18 × 974.33
  4. Step 4: Simplify right side
    2,360.87x = 3,451,229.66
  5. Step 5: Solve for x
    x = 3,451,229.66/2,360.87
  6. Step 6: Final answer
    x = 1,461.85

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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.