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Finding the Fourth Proportional to 2,129.13, 3,193.71 and 742.46

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Solution

The fourth proportional to 2,129.13, 3,193.71 and 742.46 is: 1,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.13 : 3,193.71 = 742.46 : x
  2. Step 2: Convert to fraction form
    2,129.13/3,193.71 = 742.46/x
  3. Step 3: Cross multiply
    2,129.13x = 3,193.71 × 742.46
  4. Step 4: Simplify right side
    2,129.13x = 2,371,213.96
  5. Step 5: Solve for x
    x = 2,371,213.96/2,129.13
  6. Step 6: Final answer
    x = 1,113.70

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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.