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Finding the Fourth Proportional to 2,499.42, 3,447.12 and 1,871.43

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Solution

The fourth proportional to 2,499.42, 3,447.12 and 1,871.43 is: 2,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.42 : 3,447.12 = 1,871.43 : x
  2. Step 2: Convert to fraction form
    2,499.42/3,447.12 = 1,871.43/x
  3. Step 3: Cross multiply
    2,499.42x = 3,447.12 × 1,871.43
  4. Step 4: Simplify right side
    2,499.42x = 6,451,043.78
  5. Step 5: Solve for x
    x = 6,451,043.78/2,499.42
  6. Step 6: Final answer
    x = 2,581.02

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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.