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Finding the Fourth Proportional to 2,896.31, 4,344.46 and 2,034.47

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Solution

The fourth proportional to 2,896.31, 4,344.46 and 2,034.47 is: 3,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.31 : 4,344.46 = 2,034.47 : x
  2. Step 2: Convert to fraction form
    2,896.31/4,344.46 = 2,034.47/x
  3. Step 3: Cross multiply
    2,896.31x = 4,344.46 × 2,034.47
  4. Step 4: Simplify right side
    2,896.31x = 8,838,641.64
  5. Step 5: Solve for x
    x = 8,838,641.64/2,896.31
  6. Step 6: Final answer
    x = 3,051.70

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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.