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Finding the Fourth Proportional to 2,397.24, 3,596.04 and 936.42

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Solution

The fourth proportional to 2,397.24, 3,596.04 and 936.42 is: 1,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.24 : 3,596.04 = 936.42 : x
  2. Step 2: Convert to fraction form
    2,397.24/3,596.04 = 936.42/x
  3. Step 3: Cross multiply
    2,397.24x = 3,596.04 × 936.42
  4. Step 4: Simplify right side
    2,397.24x = 3,367,403.78
  5. Step 5: Solve for x
    x = 3,367,403.78/2,397.24
  6. Step 6: Final answer
    x = 1,404.70

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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.