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Finding the Fourth Proportional to 2,134.48, 3,200.11 and 1,439.19

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Solution

The fourth proportional to 2,134.48, 3,200.11 and 1,439.19 is: 2,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.48 : 3,200.11 = 1,439.19 : x
  2. Step 2: Convert to fraction form
    2,134.48/3,200.11 = 1,439.19/x
  3. Step 3: Cross multiply
    2,134.48x = 3,200.11 × 1,439.19
  4. Step 4: Simplify right side
    2,134.48x = 4,605,566.31
  5. Step 5: Solve for x
    x = 4,605,566.31/2,134.48
  6. Step 6: Final answer
    x = 2,157.70

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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.