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Finding the Fourth Proportional to 2,158.99, 2,979.42 and 1,275.23

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Solution

The fourth proportional to 2,158.99, 2,979.42 and 1,275.23 is: 1,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.99 : 2,979.42 = 1,275.23 : x
  2. Step 2: Convert to fraction form
    2,158.99/2,979.42 = 1,275.23/x
  3. Step 3: Cross multiply
    2,158.99x = 2,979.42 × 1,275.23
  4. Step 4: Simplify right side
    2,158.99x = 3,799,445.77
  5. Step 5: Solve for x
    x = 3,799,445.77/2,158.99
  6. Step 6: Final answer
    x = 1,759.83

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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.