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Finding the Fourth Proportional to 3,049.95, 4,575.56 and 1,734.32

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Solution

The fourth proportional to 3,049.95, 4,575.56 and 1,734.32 is: 2,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.95 : 4,575.56 = 1,734.32 : x
  2. Step 2: Convert to fraction form
    3,049.95/4,575.56 = 1,734.32/x
  3. Step 3: Cross multiply
    3,049.95x = 4,575.56 × 1,734.32
  4. Step 4: Simplify right side
    3,049.95x = 7,935,453.67
  5. Step 5: Solve for x
    x = 7,935,453.67/3,049.95
  6. Step 6: Final answer
    x = 2,601.83

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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.