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Finding the Fourth Proportional to 2,464.80, 3,697.92 and 1,148.28

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Solution

The fourth proportional to 2,464.80, 3,697.92 and 1,148.28 is: 1,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.80 : 3,697.92 = 1,148.28 : x
  2. Step 2: Convert to fraction form
    2,464.80/3,697.92 = 1,148.28/x
  3. Step 3: Cross multiply
    2,464.80x = 3,697.92 × 1,148.28
  4. Step 4: Simplify right side
    2,464.80x = 4,246,247.58
  5. Step 5: Solve for x
    x = 4,246,247.58/2,464.80
  6. Step 6: Final answer
    x = 1,722.76

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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.