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Finding the Fourth Proportional to 2,159.82, 2,980.76 and 1,414.17

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Solution

The fourth proportional to 2,159.82, 2,980.76 and 1,414.17 is: 1,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.82 : 2,980.76 = 1,414.17 : x
  2. Step 2: Convert to fraction form
    2,159.82/2,980.76 = 1,414.17/x
  3. Step 3: Cross multiply
    2,159.82x = 2,980.76 × 1,414.17
  4. Step 4: Simplify right side
    2,159.82x = 4,215,294.30
  5. Step 5: Solve for x
    x = 4,215,294.30/2,159.82
  6. Step 6: Final answer
    x = 1,951.69

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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.