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Finding the Fourth Proportional to 2,398.78, 3,596.70 and 936.22

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Solution

The fourth proportional to 2,398.78, 3,596.70 and 936.22 is: 1,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.78 : 3,596.70 = 936.22 : x
  2. Step 2: Convert to fraction form
    2,398.78/3,596.70 = 936.22/x
  3. Step 3: Cross multiply
    2,398.78x = 3,596.70 × 936.22
  4. Step 4: Simplify right side
    2,398.78x = 3,367,302.47
  5. Step 5: Solve for x
    x = 3,367,302.47/2,398.78
  6. Step 6: Final answer
    x = 1,403.76

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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.