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Finding the Fourth Proportional to 2,473.71, 3,705.22 and 2,328.31

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Solution

The fourth proportional to 2,473.71, 3,705.22 and 2,328.31 is: 3,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.71 : 3,705.22 = 2,328.31 : x
  2. Step 2: Convert to fraction form
    2,473.71/3,705.22 = 2,328.31/x
  3. Step 3: Cross multiply
    2,473.71x = 3,705.22 × 2,328.31
  4. Step 4: Simplify right side
    2,473.71x = 8,626,900.78
  5. Step 5: Solve for x
    x = 8,626,900.78/2,473.71
  6. Step 6: Final answer
    x = 3,487.43

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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.