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Finding the Fourth Proportional to 2,158.68, 2,979.98 and 1,627.78

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Solution

The fourth proportional to 2,158.68, 2,979.98 and 1,627.78 is: 2,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.68 : 2,979.98 = 1,627.78 : x
  2. Step 2: Convert to fraction form
    2,158.68/2,979.98 = 1,627.78/x
  3. Step 3: Cross multiply
    2,158.68x = 2,979.98 × 1,627.78
  4. Step 4: Simplify right side
    2,158.68x = 4,850,743.71
  5. Step 5: Solve for x
    x = 4,850,743.71/2,158.68
  6. Step 6: Final answer
    x = 2,247.09

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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.