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Finding the Fourth Proportional to 2,368.16, 3,552.09 and 724.73

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Solution

The fourth proportional to 2,368.16, 3,552.09 and 724.73 is: 1,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.16 : 3,552.09 = 724.73 : x
  2. Step 2: Convert to fraction form
    2,368.16/3,552.09 = 724.73/x
  3. Step 3: Cross multiply
    2,368.16x = 3,552.09 × 724.73
  4. Step 4: Simplify right side
    2,368.16x = 2,574,285.71
  5. Step 5: Solve for x
    x = 2,574,285.71/2,368.16
  6. Step 6: Final answer
    x = 1,087.04

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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.