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Finding the Fourth Proportional to 2,034.09, 2,807.16 and 1,149.97

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Solution

The fourth proportional to 2,034.09, 2,807.16 and 1,149.97 is: 1,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.09 : 2,807.16 = 1,149.97 : x
  2. Step 2: Convert to fraction form
    2,034.09/2,807.16 = 1,149.97/x
  3. Step 3: Cross multiply
    2,034.09x = 2,807.16 × 1,149.97
  4. Step 4: Simplify right side
    2,034.09x = 3,228,149.79
  5. Step 5: Solve for x
    x = 3,228,149.79/2,034.09
  6. Step 6: Final answer
    x = 1,587.02

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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.