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Finding the Fourth Proportional to 2,829.60, 4,238.71 and 1,350.24

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Solution

The fourth proportional to 2,829.60, 4,238.71 and 1,350.24 is: 2,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.60 : 4,238.71 = 1,350.24 : x
  2. Step 2: Convert to fraction form
    2,829.60/4,238.71 = 1,350.24/x
  3. Step 3: Cross multiply
    2,829.60x = 4,238.71 × 1,350.24
  4. Step 4: Simplify right side
    2,829.60x = 5,723,275.79
  5. Step 5: Solve for x
    x = 5,723,275.79/2,829.60
  6. Step 6: Final answer
    x = 2,022.64

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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.