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Finding the Fourth Proportional to 2,489.41, 3,734.72 and 929.49

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Solution

The fourth proportional to 2,489.41, 3,734.72 and 929.49 is: 1,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.41 : 3,734.72 = 929.49 : x
  2. Step 2: Convert to fraction form
    2,489.41/3,734.72 = 929.49/x
  3. Step 3: Cross multiply
    2,489.41x = 3,734.72 × 929.49
  4. Step 4: Simplify right side
    2,489.41x = 3,471,384.89
  5. Step 5: Solve for x
    x = 3,471,384.89/2,489.41
  6. Step 6: Final answer
    x = 1,394.46

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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.