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Finding the Fourth Proportional to 2,302.07, 3,452.76 and 741.85

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Solution

The fourth proportional to 2,302.07, 3,452.76 and 741.85 is: 1,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.07 : 3,452.76 = 741.85 : x
  2. Step 2: Convert to fraction form
    2,302.07/3,452.76 = 741.85/x
  3. Step 3: Cross multiply
    2,302.07x = 3,452.76 × 741.85
  4. Step 4: Simplify right side
    2,302.07x = 2,561,421.37
  5. Step 5: Solve for x
    x = 2,561,421.37/2,302.07
  6. Step 6: Final answer
    x = 1,112.66

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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.