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Finding the Fourth Proportional to 2,302.72, 3,454.76 and 742.97

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Solution

The fourth proportional to 2,302.72, 3,454.76 and 742.97 is: 1,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.72 : 3,454.76 = 742.97 : x
  2. Step 2: Convert to fraction form
    2,302.72/3,454.76 = 742.97/x
  3. Step 3: Cross multiply
    2,302.72x = 3,454.76 × 742.97
  4. Step 4: Simplify right side
    2,302.72x = 2,566,767.62
  5. Step 5: Solve for x
    x = 2,566,767.62/2,302.72
  6. Step 6: Final answer
    x = 1,114.67

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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.