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Finding the Fourth Proportional to 2,471.90, 3,707.86 and 1,084.91

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Solution

The fourth proportional to 2,471.90, 3,707.86 and 1,084.91 is: 1,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.90 : 3,707.86 = 1,084.91 : x
  2. Step 2: Convert to fraction form
    2,471.90/3,707.86 = 1,084.91/x
  3. Step 3: Cross multiply
    2,471.90x = 3,707.86 × 1,084.91
  4. Step 4: Simplify right side
    2,471.90x = 4,022,700.95
  5. Step 5: Solve for x
    x = 4,022,700.95/2,471.90
  6. Step 6: Final answer
    x = 1,627.37

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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.