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Finding the Fourth Proportional to 2,399.76, 3,594.72 and 1,617.48

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Solution

The fourth proportional to 2,399.76, 3,594.72 and 1,617.48 is: 2,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.76 : 3,594.72 = 1,617.48 : x
  2. Step 2: Convert to fraction form
    2,399.76/3,594.72 = 1,617.48/x
  3. Step 3: Cross multiply
    2,399.76x = 3,594.72 × 1,617.48
  4. Step 4: Simplify right side
    2,399.76x = 5,814,387.71
  5. Step 5: Solve for x
    x = 5,814,387.71/2,399.76
  6. Step 6: Final answer
    x = 2,422.90

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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.