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Finding the Fourth Proportional to 2,324.71, 3,488.11 and 940.76

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Solution

The fourth proportional to 2,324.71, 3,488.11 and 940.76 is: 1,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.71 : 3,488.11 = 940.76 : x
  2. Step 2: Convert to fraction form
    2,324.71/3,488.11 = 940.76/x
  3. Step 3: Cross multiply
    2,324.71x = 3,488.11 × 940.76
  4. Step 4: Simplify right side
    2,324.71x = 3,281,469.66
  5. Step 5: Solve for x
    x = 3,281,469.66/2,324.71
  6. Step 6: Final answer
    x = 1,411.56

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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.