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Finding the Fourth Proportional to 2,956.97, 4,082.26 and 2,159.50

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Solution

The fourth proportional to 2,956.97, 4,082.26 and 2,159.50 is: 2,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.97 : 4,082.26 = 2,159.50 : x
  2. Step 2: Convert to fraction form
    2,956.97/4,082.26 = 2,159.50/x
  3. Step 3: Cross multiply
    2,956.97x = 4,082.26 × 2,159.50
  4. Step 4: Simplify right side
    2,956.97x = 8,815,640.47
  5. Step 5: Solve for x
    x = 8,815,640.47/2,956.97
  6. Step 6: Final answer
    x = 2,981.31

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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.