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Finding the Fourth Proportional to 2,471.72, 3,705.14 and 1,085.81

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Solution

The fourth proportional to 2,471.72, 3,705.14 and 1,085.81 is: 1,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.72 : 3,705.14 = 1,085.81 : x
  2. Step 2: Convert to fraction form
    2,471.72/3,705.14 = 1,085.81/x
  3. Step 3: Cross multiply
    2,471.72x = 3,705.14 × 1,085.81
  4. Step 4: Simplify right side
    2,471.72x = 4,023,062.25
  5. Step 5: Solve for x
    x = 4,023,062.25/2,471.72
  6. Step 6: Final answer
    x = 1,627.64

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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.