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Finding the Fourth Proportional to 2,397.65, 3,591.77 and 2,136.43

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Solution

The fourth proportional to 2,397.65, 3,591.77 and 2,136.43 is: 3,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.65 : 3,591.77 = 2,136.43 : x
  2. Step 2: Convert to fraction form
    2,397.65/3,591.77 = 2,136.43/x
  3. Step 3: Cross multiply
    2,397.65x = 3,591.77 × 2,136.43
  4. Step 4: Simplify right side
    2,397.65x = 7,673,536.54
  5. Step 5: Solve for x
    x = 7,673,536.54/2,397.65
  6. Step 6: Final answer
    x = 3,200.44

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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.