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Finding the Fourth Proportional to 2,080.64, 2,871.48 and 1,149.14

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Solution

The fourth proportional to 2,080.64, 2,871.48 and 1,149.14 is: 1,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.64 : 2,871.48 = 1,149.14 : x
  2. Step 2: Convert to fraction form
    2,080.64/2,871.48 = 1,149.14/x
  3. Step 3: Cross multiply
    2,080.64x = 2,871.48 × 1,149.14
  4. Step 4: Simplify right side
    2,080.64x = 3,299,732.53
  5. Step 5: Solve for x
    x = 3,299,732.53/2,080.64
  6. Step 6: Final answer
    x = 1,585.92

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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.