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Finding the Fourth Proportional to 2,767.38, 4,147.86 and 1,121.88

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Solution

The fourth proportional to 2,767.38, 4,147.86 and 1,121.88 is: 1,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.38 : 4,147.86 = 1,121.88 : x
  2. Step 2: Convert to fraction form
    2,767.38/4,147.86 = 1,121.88/x
  3. Step 3: Cross multiply
    2,767.38x = 4,147.86 × 1,121.88
  4. Step 4: Simplify right side
    2,767.38x = 4,653,401.18
  5. Step 5: Solve for x
    x = 4,653,401.18/2,767.38
  6. Step 6: Final answer
    x = 1,681.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.