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Finding the Fourth Proportional to 2,447.64, 3,673.29 and 1,524.54

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Solution

The fourth proportional to 2,447.64, 3,673.29 and 1,524.54 is: 2,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.64 : 3,673.29 = 1,524.54 : x
  2. Step 2: Convert to fraction form
    2,447.64/3,673.29 = 1,524.54/x
  3. Step 3: Cross multiply
    2,447.64x = 3,673.29 × 1,524.54
  4. Step 4: Simplify right side
    2,447.64x = 5,600,077.54
  5. Step 5: Solve for x
    x = 5,600,077.54/2,447.64
  6. Step 6: Final answer
    x = 2,287.95

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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.