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Finding the Fourth Proportional to 1,734.18, 2,601.82 and 746.52

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Solution

The fourth proportional to 1,734.18, 2,601.82 and 746.52 is: 1,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.18 : 2,601.82 = 746.52 : x
  2. Step 2: Convert to fraction form
    1,734.18/2,601.82 = 746.52/x
  3. Step 3: Cross multiply
    1,734.18x = 2,601.82 × 746.52
  4. Step 4: Simplify right side
    1,734.18x = 1,942,310.67
  5. Step 5: Solve for x
    x = 1,942,310.67/1,734.18
  6. Step 6: Final answer
    x = 1,120.02

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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.