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Finding the Fourth Proportional to 2,185.52, 3,278.52 and 724.77

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Solution

The fourth proportional to 2,185.52, 3,278.52 and 724.77 is: 1,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.52 : 3,278.52 = 724.77 : x
  2. Step 2: Convert to fraction form
    2,185.52/3,278.52 = 724.77/x
  3. Step 3: Cross multiply
    2,185.52x = 3,278.52 × 724.77
  4. Step 4: Simplify right side
    2,185.52x = 2,376,172.94
  5. Step 5: Solve for x
    x = 2,376,172.94/2,185.52
  6. Step 6: Final answer
    x = 1,087.24

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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.