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Finding the Fourth Proportional to 2,399.24, 3,603.18 and 2,297.18

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Solution

The fourth proportional to 2,399.24, 3,603.18 and 2,297.18 is: 3,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.24 : 3,603.18 = 2,297.18 : x
  2. Step 2: Convert to fraction form
    2,399.24/3,603.18 = 2,297.18/x
  3. Step 3: Cross multiply
    2,399.24x = 3,603.18 × 2,297.18
  4. Step 4: Simplify right side
    2,399.24x = 8,277,153.03
  5. Step 5: Solve for x
    x = 8,277,153.03/2,399.24
  6. Step 6: Final answer
    x = 3,449.91

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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.