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Finding the Fourth Proportional to 2,368.97, 3,553.85 and 725.12

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Solution

The fourth proportional to 2,368.97, 3,553.85 and 725.12 is: 1,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.97 : 3,553.85 = 725.12 : x
  2. Step 2: Convert to fraction form
    2,368.97/3,553.85 = 725.12/x
  3. Step 3: Cross multiply
    2,368.97x = 3,553.85 × 725.12
  4. Step 4: Simplify right side
    2,368.97x = 2,576,946.32
  5. Step 5: Solve for x
    x = 2,576,946.32/2,368.97
  6. Step 6: Final answer
    x = 1,087.79

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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.