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Finding the Fourth Proportional to 2,079.66, 2,864.08 and 2,034.30

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Solution

The fourth proportional to 2,079.66, 2,864.08 and 2,034.30 is: 2,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.66 : 2,864.08 = 2,034.30 : x
  2. Step 2: Convert to fraction form
    2,079.66/2,864.08 = 2,034.30/x
  3. Step 3: Cross multiply
    2,079.66x = 2,864.08 × 2,034.30
  4. Step 4: Simplify right side
    2,079.66x = 5,826,397.94
  5. Step 5: Solve for x
    x = 5,826,397.94/2,079.66
  6. Step 6: Final answer
    x = 2,801.61

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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.