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Finding the Fourth Proportional to 2,298.17, 3,443.92 and 980.13

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Solution

The fourth proportional to 2,298.17, 3,443.92 and 980.13 is: 1,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.17 : 3,443.92 = 980.13 : x
  2. Step 2: Convert to fraction form
    2,298.17/3,443.92 = 980.13/x
  3. Step 3: Cross multiply
    2,298.17x = 3,443.92 × 980.13
  4. Step 4: Simplify right side
    2,298.17x = 3,375,470.72
  5. Step 5: Solve for x
    x = 3,375,470.72/2,298.17
  6. Step 6: Final answer
    x = 1,468.76

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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.