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Finding the Fourth Proportional to 2,134.69, 3,200.29 and 1,432.62

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Solution

The fourth proportional to 2,134.69, 3,200.29 and 1,432.62 is: 2,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.69 : 3,200.29 = 1,432.62 : x
  2. Step 2: Convert to fraction form
    2,134.69/3,200.29 = 1,432.62/x
  3. Step 3: Cross multiply
    2,134.69x = 3,200.29 × 1,432.62
  4. Step 4: Simplify right side
    2,134.69x = 4,584,803.94
  5. Step 5: Solve for x
    x = 4,584,803.94/2,134.69
  6. Step 6: Final answer
    x = 2,147.76

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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.