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Finding the Fourth Proportional to 2,034.15, 2,807.10 and 1,149.90

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Solution

The fourth proportional to 2,034.15, 2,807.10 and 1,149.90 is: 1,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.15 : 2,807.10 = 1,149.90 : x
  2. Step 2: Convert to fraction form
    2,034.15/2,807.10 = 1,149.90/x
  3. Step 3: Cross multiply
    2,034.15x = 2,807.10 × 1,149.90
  4. Step 4: Simplify right side
    2,034.15x = 3,227,884.29
  5. Step 5: Solve for x
    x = 3,227,884.29/2,034.15
  6. Step 6: Final answer
    x = 1,586.85

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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.