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Finding the Fourth Proportional to 2,615.98, 3,924.04 and 1,155.15

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Solution

The fourth proportional to 2,615.98, 3,924.04 and 1,155.15 is: 1,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.98 : 3,924.04 = 1,155.15 : x
  2. Step 2: Convert to fraction form
    2,615.98/3,924.04 = 1,155.15/x
  3. Step 3: Cross multiply
    2,615.98x = 3,924.04 × 1,155.15
  4. Step 4: Simplify right side
    2,615.98x = 4,532,832.30
  5. Step 5: Solve for x
    x = 4,532,832.30/2,615.98
  6. Step 6: Final answer
    x = 1,732.75

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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.