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Finding the Fourth Proportional to 2,396.38, 3,590.64 and 2,305.24

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Solution

The fourth proportional to 2,396.38, 3,590.64 and 2,305.24 is: 3,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.38 : 3,590.64 = 2,305.24 : x
  2. Step 2: Convert to fraction form
    2,396.38/3,590.64 = 2,305.24/x
  3. Step 3: Cross multiply
    2,396.38x = 3,590.64 × 2,305.24
  4. Step 4: Simplify right side
    2,396.38x = 8,277,286.95
  5. Step 5: Solve for x
    x = 8,277,286.95/2,396.38
  6. Step 6: Final answer
    x = 3,454.08

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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.