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Finding the Fourth Proportional to 2,099.52, 3,149.28 and 560.48

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Solution

The fourth proportional to 2,099.52, 3,149.28 and 560.48 is: 840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 3,149.28 = 560.48 : x
  2. Step 2: Convert to fraction form
    2,099.52/3,149.28 = 560.48/x
  3. Step 3: Cross multiply
    2,099.52x = 3,149.28 × 560.48
  4. Step 4: Simplify right side
    2,099.52x = 1,765,108.45
  5. Step 5: Solve for x
    x = 1,765,108.45/2,099.52
  6. Step 6: Final answer
    x = 840.72

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1.5x scale

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.