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Finding the Fourth Proportional to 2,278.90, 3,138.42 and 2,052.91

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Solution

The fourth proportional to 2,278.90, 3,138.42 and 2,052.91 is: 2,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.90 : 3,138.42 = 2,052.91 : x
  2. Step 2: Convert to fraction form
    2,278.90/3,138.42 = 2,052.91/x
  3. Step 3: Cross multiply
    2,278.90x = 3,138.42 × 2,052.91
  4. Step 4: Simplify right side
    2,278.90x = 6,442,893.80
  5. Step 5: Solve for x
    x = 6,442,893.80/2,278.90
  6. Step 6: Final answer
    x = 2,827.19

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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.