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Finding the Fourth Proportional to 2,490.43, 3,734.61 and 930.19

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Solution

The fourth proportional to 2,490.43, 3,734.61 and 930.19 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.43 : 3,734.61 = 930.19 : x
  2. Step 2: Convert to fraction form
    2,490.43/3,734.61 = 930.19/x
  3. Step 3: Cross multiply
    2,490.43x = 3,734.61 × 930.19
  4. Step 4: Simplify right side
    2,490.43x = 3,473,896.88
  5. Step 5: Solve for x
    x = 3,473,896.88/2,490.43
  6. Step 6: Final answer
    x = 1,394.90

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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.