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Finding the Fourth Proportional to 2,302.74, 3,453.78 and 742.55

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Solution

The fourth proportional to 2,302.74, 3,453.78 and 742.55 is: 1,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.74 : 3,453.78 = 742.55 : x
  2. Step 2: Convert to fraction form
    2,302.74/3,453.78 = 742.55/x
  3. Step 3: Cross multiply
    2,302.74x = 3,453.78 × 742.55
  4. Step 4: Simplify right side
    2,302.74x = 2,564,587.07
  5. Step 5: Solve for x
    x = 2,564,587.07/2,302.74
  6. Step 6: Final answer
    x = 1,113.71

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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.