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Finding the Fourth Proportional to 2,760.96, 4,141.42 and 1,117.48

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Solution

The fourth proportional to 2,760.96, 4,141.42 and 1,117.48 is: 1,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 4,141.42 = 1,117.48 : x
  2. Step 2: Convert to fraction form
    2,760.96/4,141.42 = 1,117.48/x
  3. Step 3: Cross multiply
    2,760.96x = 4,141.42 × 1,117.48
  4. Step 4: Simplify right side
    2,760.96x = 4,627,965.08
  5. Step 5: Solve for x
    x = 4,627,965.08/2,760.96
  6. Step 6: Final answer
    x = 1,676.22

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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.