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Finding the Fourth Proportional to 2,129.47, 3,194.27 and 742.95

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Solution

The fourth proportional to 2,129.47, 3,194.27 and 742.95 is: 1,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.47 : 3,194.27 = 742.95 : x
  2. Step 2: Convert to fraction form
    2,129.47/3,194.27 = 742.95/x
  3. Step 3: Cross multiply
    2,129.47x = 3,194.27 × 742.95
  4. Step 4: Simplify right side
    2,129.47x = 2,373,171.20
  5. Step 5: Solve for x
    x = 2,373,171.20/2,129.47
  6. Step 6: Final answer
    x = 1,114.44

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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.