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Finding the Fourth Proportional to 2,149.24, 3,223.72 and 1,053.68

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Solution

The fourth proportional to 2,149.24, 3,223.72 and 1,053.68 is: 1,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.24 : 3,223.72 = 1,053.68 : x
  2. Step 2: Convert to fraction form
    2,149.24/3,223.72 = 1,053.68/x
  3. Step 3: Cross multiply
    2,149.24x = 3,223.72 × 1,053.68
  4. Step 4: Simplify right side
    2,149.24x = 3,396,769.29
  5. Step 5: Solve for x
    x = 3,396,769.29/2,149.24
  6. Step 6: Final answer
    x = 1,580.45

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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.