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Finding the Fourth Proportional to 2,472.78, 3,711.60 and 1,377.93

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Solution

The fourth proportional to 2,472.78, 3,711.60 and 1,377.93 is: 2,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.78 : 3,711.60 = 1,377.93 : x
  2. Step 2: Convert to fraction form
    2,472.78/3,711.60 = 1,377.93/x
  3. Step 3: Cross multiply
    2,472.78x = 3,711.60 × 1,377.93
  4. Step 4: Simplify right side
    2,472.78x = 5,114,324.99
  5. Step 5: Solve for x
    x = 5,114,324.99/2,472.78
  6. Step 6: Final answer
    x = 2,068.25

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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.