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Finding the Fourth Proportional to 3,016.54, 4,527.56 and 2,098

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Solution

The fourth proportional to 3,016.54, 4,527.56 and 2,098 is: 3,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.54 : 4,527.56 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,016.54/4,527.56 = 2,098/x
  3. Step 3: Cross multiply
    3,016.54x = 4,527.56 × 2,098
  4. Step 4: Simplify right side
    3,016.54x = 9,498,820.88
  5. Step 5: Solve for x
    x = 9,498,820.88/3,016.54
  6. Step 6: Final answer
    x = 3,148.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.