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Finding the Fourth Proportional to 2,314.52, 3,191.82 and 2,144.84

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Solution

The fourth proportional to 2,314.52, 3,191.82 and 2,144.84 is: 2,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.52 : 3,191.82 = 2,144.84 : x
  2. Step 2: Convert to fraction form
    2,314.52/3,191.82 = 2,144.84/x
  3. Step 3: Cross multiply
    2,314.52x = 3,191.82 × 2,144.84
  4. Step 4: Simplify right side
    2,314.52x = 6,845,943.21
  5. Step 5: Solve for x
    x = 6,845,943.21/2,314.52
  6. Step 6: Final answer
    x = 2,957.82

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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.