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Finding the Fourth Proportional to 2,079.90, 2,864.43 and 2,034.54

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Solution

The fourth proportional to 2,079.90, 2,864.43 and 2,034.54 is: 2,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.90 : 2,864.43 = 2,034.54 : x
  2. Step 2: Convert to fraction form
    2,079.90/2,864.43 = 2,034.54/x
  3. Step 3: Cross multiply
    2,079.90x = 2,864.43 × 2,034.54
  4. Step 4: Simplify right side
    2,079.90x = 5,827,797.41
  5. Step 5: Solve for x
    x = 5,827,797.41/2,079.90
  6. Step 6: Final answer
    x = 2,801.96

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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.