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Finding the Fourth Proportional to 2,360.71, 3,539.17 and 1,581.49

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Solution

The fourth proportional to 2,360.71, 3,539.17 and 1,581.49 is: 2,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.71 : 3,539.17 = 1,581.49 : x
  2. Step 2: Convert to fraction form
    2,360.71/3,539.17 = 1,581.49/x
  3. Step 3: Cross multiply
    2,360.71x = 3,539.17 × 1,581.49
  4. Step 4: Simplify right side
    2,360.71x = 5,597,155.09
  5. Step 5: Solve for x
    x = 5,597,155.09/2,360.71
  6. Step 6: Final answer
    x = 2,370.97

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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.