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Finding the Fourth Proportional to 2,129.28, 3,194.07 and 742.45

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Solution

The fourth proportional to 2,129.28, 3,194.07 and 742.45 is: 1,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.28 : 3,194.07 = 742.45 : x
  2. Step 2: Convert to fraction form
    2,129.28/3,194.07 = 742.45/x
  3. Step 3: Cross multiply
    2,129.28x = 3,194.07 × 742.45
  4. Step 4: Simplify right side
    2,129.28x = 2,371,421.30
  5. Step 5: Solve for x
    x = 2,371,421.30/2,129.28
  6. Step 6: Final answer
    x = 1,113.72

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