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Finding the Fourth Proportional to 2,618.96, 3,612.53 and 1,871.61

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Solution

The fourth proportional to 2,618.96, 3,612.53 and 1,871.61 is: 2,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.96 : 3,612.53 = 1,871.61 : x
  2. Step 2: Convert to fraction form
    2,618.96/3,612.53 = 1,871.61/x
  3. Step 3: Cross multiply
    2,618.96x = 3,612.53 × 1,871.61
  4. Step 4: Simplify right side
    2,618.96x = 6,761,237.92
  5. Step 5: Solve for x
    x = 6,761,237.92/2,618.96
  6. Step 6: Final answer
    x = 2,581.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.