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Finding the Fourth Proportional to 2,429, 3,350.82 and 1,532.33

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Solution

The fourth proportional to 2,429, 3,350.82 and 1,532.33 is: 2,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429 : 3,350.82 = 1,532.33 : x
  2. Step 2: Convert to fraction form
    2,429/3,350.82 = 1,532.33/x
  3. Step 3: Cross multiply
    2,429x = 3,350.82 × 1,532.33
  4. Step 4: Simplify right side
    2,429x = 5,134,562.01
  5. Step 5: Solve for x
    x = 5,134,562.01/2,429
  6. Step 6: Final answer
    x = 2,113.86

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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.