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Finding the Fourth Proportional to 2,553.47, 3,830.20 and 2,232.71

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Solution

The fourth proportional to 2,553.47, 3,830.20 and 2,232.71 is: 3,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.47 : 3,830.20 = 2,232.71 : x
  2. Step 2: Convert to fraction form
    2,553.47/3,830.20 = 2,232.71/x
  3. Step 3: Cross multiply
    2,553.47x = 3,830.20 × 2,232.71
  4. Step 4: Simplify right side
    2,553.47x = 8,551,701.11
  5. Step 5: Solve for x
    x = 8,551,701.11/2,553.47
  6. Step 6: Final answer
    x = 3,349.06

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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.