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Finding the Fourth Proportional to 2,301.33, 3,451.76 and 742.42

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Solution

The fourth proportional to 2,301.33, 3,451.76 and 742.42 is: 1,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.33 : 3,451.76 = 742.42 : x
  2. Step 2: Convert to fraction form
    2,301.33/3,451.76 = 742.42/x
  3. Step 3: Cross multiply
    2,301.33x = 3,451.76 × 742.42
  4. Step 4: Simplify right side
    2,301.33x = 2,562,655.66
  5. Step 5: Solve for x
    x = 2,562,655.66/2,301.33
  6. Step 6: Final answer
    x = 1,113.55

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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.