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Finding the Fourth Proportional to 2,748.62, 3,793.26 and 2,158.14

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Solution

The fourth proportional to 2,748.62, 3,793.26 and 2,158.14 is: 2,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.62 : 3,793.26 = 2,158.14 : x
  2. Step 2: Convert to fraction form
    2,748.62/3,793.26 = 2,158.14/x
  3. Step 3: Cross multiply
    2,748.62x = 3,793.26 × 2,158.14
  4. Step 4: Simplify right side
    2,748.62x = 8,186,386.14
  5. Step 5: Solve for x
    x = 8,186,386.14/2,748.62
  6. Step 6: Final answer
    x = 2,978.36

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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.