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Finding the Fourth Proportional to 2,448.19, 3,672.72 and 1,149.63

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Solution

The fourth proportional to 2,448.19, 3,672.72 and 1,149.63 is: 1,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.19 : 3,672.72 = 1,149.63 : x
  2. Step 2: Convert to fraction form
    2,448.19/3,672.72 = 1,149.63/x
  3. Step 3: Cross multiply
    2,448.19x = 3,672.72 × 1,149.63
  4. Step 4: Simplify right side
    2,448.19x = 4,222,269.09
  5. Step 5: Solve for x
    x = 4,222,269.09/2,448.19
  6. Step 6: Final answer
    x = 1,724.65

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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.