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Finding the Fourth Proportional to 2,365.15, 3,548.29 and 721.59

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Solution

The fourth proportional to 2,365.15, 3,548.29 and 721.59 is: 1,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.15 : 3,548.29 = 721.59 : x
  2. Step 2: Convert to fraction form
    2,365.15/3,548.29 = 721.59/x
  3. Step 3: Cross multiply
    2,365.15x = 3,548.29 × 721.59
  4. Step 4: Simplify right side
    2,365.15x = 2,560,408.78
  5. Step 5: Solve for x
    x = 2,560,408.78/2,365.15
  6. Step 6: Final answer
    x = 1,082.56

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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.