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Finding the Fourth Proportional to 2,397.18, 3,596.34 and 935.94

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Solution

The fourth proportional to 2,397.18, 3,596.34 and 935.94 is: 1,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.18 : 3,596.34 = 935.94 : x
  2. Step 2: Convert to fraction form
    2,397.18/3,596.34 = 935.94/x
  3. Step 3: Cross multiply
    2,397.18x = 3,596.34 × 935.94
  4. Step 4: Simplify right side
    2,397.18x = 3,365,958.46
  5. Step 5: Solve for x
    x = 3,365,958.46/2,397.18
  6. Step 6: Final answer
    x = 1,404.13

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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.