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Finding the Fourth Proportional to 2,158.62, 2,978.90 and 1,227.12

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Solution

The fourth proportional to 2,158.62, 2,978.90 and 1,227.12 is: 1,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.62 : 2,978.90 = 1,227.12 : x
  2. Step 2: Convert to fraction form
    2,158.62/2,978.90 = 1,227.12/x
  3. Step 3: Cross multiply
    2,158.62x = 2,978.90 × 1,227.12
  4. Step 4: Simplify right side
    2,158.62x = 3,655,467.77
  5. Step 5: Solve for x
    x = 3,655,467.77/2,158.62
  6. Step 6: Final answer
    x = 1,693.43

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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.