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Finding the Fourth Proportional to 2,447.36, 3,672.24 and 1,148.96

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Solution

The fourth proportional to 2,447.36, 3,672.24 and 1,148.96 is: 1,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.36 : 3,672.24 = 1,148.96 : x
  2. Step 2: Convert to fraction form
    2,447.36/3,672.24 = 1,148.96/x
  3. Step 3: Cross multiply
    2,447.36x = 3,672.24 × 1,148.96
  4. Step 4: Simplify right side
    2,447.36x = 4,219,256.87
  5. Step 5: Solve for x
    x = 4,219,256.87/2,447.36
  6. Step 6: Final answer
    x = 1,724.00

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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.