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Finding the Fourth Proportional to 2,397.74, 3,595.89 and 936.54

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Solution

The fourth proportional to 2,397.74, 3,595.89 and 936.54 is: 1,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.74 : 3,595.89 = 936.54 : x
  2. Step 2: Convert to fraction form
    2,397.74/3,595.89 = 936.54/x
  3. Step 3: Cross multiply
    2,397.74x = 3,595.89 × 936.54
  4. Step 4: Simplify right side
    2,397.74x = 3,367,694.82
  5. Step 5: Solve for x
    x = 3,367,694.82/2,397.74
  6. Step 6: Final answer
    x = 1,404.53

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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.