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Finding the Fourth Proportional to 3,089.97, 4,632.90 and 2,166.65

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Solution

The fourth proportional to 3,089.97, 4,632.90 and 2,166.65 is: 3,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.97 : 4,632.90 = 2,166.65 : x
  2. Step 2: Convert to fraction form
    3,089.97/4,632.90 = 2,166.65/x
  3. Step 3: Cross multiply
    3,089.97x = 4,632.90 × 2,166.65
  4. Step 4: Simplify right side
    3,089.97x = 10,037,849.62
  5. Step 5: Solve for x
    x = 10,037,849.62/3,089.97
  6. Step 6: Final answer
    x = 3,248.53

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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.