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Finding the Fourth Proportional to 1,401.47, 2,102.88 and 621.38

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Solution

The fourth proportional to 1,401.47, 2,102.88 and 621.38 is: 932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.47 : 2,102.88 = 621.38 : x
  2. Step 2: Convert to fraction form
    1,401.47/2,102.88 = 621.38/x
  3. Step 3: Cross multiply
    1,401.47x = 2,102.88 × 621.38
  4. Step 4: Simplify right side
    1,401.47x = 1,306,687.57
  5. Step 5: Solve for x
    x = 1,306,687.57/1,401.47
  6. Step 6: Final answer
    x = 932.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.