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Finding the Fourth Proportional to 3,099.56, 4,650.02 and 1,456.12

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Solution

The fourth proportional to 3,099.56, 4,650.02 and 1,456.12 is: 2,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.56 : 4,650.02 = 1,456.12 : x
  2. Step 2: Convert to fraction form
    3,099.56/4,650.02 = 1,456.12/x
  3. Step 3: Cross multiply
    3,099.56x = 4,650.02 × 1,456.12
  4. Step 4: Simplify right side
    3,099.56x = 6,770,987.12
  5. Step 5: Solve for x
    x = 6,770,987.12/3,099.56
  6. Step 6: Final answer
    x = 2,184.50

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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.