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Finding the Fourth Proportional to 2,615.75, 3,924.53 and 1,155.93

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Solution

The fourth proportional to 2,615.75, 3,924.53 and 1,155.93 is: 1,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.75 : 3,924.53 = 1,155.93 : x
  2. Step 2: Convert to fraction form
    2,615.75/3,924.53 = 1,155.93/x
  3. Step 3: Cross multiply
    2,615.75x = 3,924.53 × 1,155.93
  4. Step 4: Simplify right side
    2,615.75x = 4,536,481.96
  5. Step 5: Solve for x
    x = 4,536,481.96/2,615.75
  6. Step 6: Final answer
    x = 1,734.29

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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.