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Finding the Fourth Proportional to 1,583.71, 2,372.33 and 932.47

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Solution

The fourth proportional to 1,583.71, 2,372.33 and 932.47 is: 1,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.71 : 2,372.33 = 932.47 : x
  2. Step 2: Convert to fraction form
    1,583.71/2,372.33 = 932.47/x
  3. Step 3: Cross multiply
    1,583.71x = 2,372.33 × 932.47
  4. Step 4: Simplify right side
    1,583.71x = 2,212,121.89
  5. Step 5: Solve for x
    x = 2,212,121.89/1,583.71
  6. Step 6: Final answer
    x = 1,396.80

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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.