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Finding the Fourth Proportional to 3,059.44, 4,220.87 and 1,732.14

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Solution

The fourth proportional to 3,059.44, 4,220.87 and 1,732.14 is: 2,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.44 : 4,220.87 = 1,732.14 : x
  2. Step 2: Convert to fraction form
    3,059.44/4,220.87 = 1,732.14/x
  3. Step 3: Cross multiply
    3,059.44x = 4,220.87 × 1,732.14
  4. Step 4: Simplify right side
    3,059.44x = 7,311,129.10
  5. Step 5: Solve for x
    x = 7,311,129.10/3,059.44
  6. Step 6: Final answer
    x = 2,389.70

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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.