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Finding the Fourth Proportional to 2,532.80, 3,793.67 and 2,089.09

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Solution

The fourth proportional to 2,532.80, 3,793.67 and 2,089.09 is: 3,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.80 : 3,793.67 = 2,089.09 : x
  2. Step 2: Convert to fraction form
    2,532.80/3,793.67 = 2,089.09/x
  3. Step 3: Cross multiply
    2,532.80x = 3,793.67 × 2,089.09
  4. Step 4: Simplify right side
    2,532.80x = 7,925,320.19
  5. Step 5: Solve for x
    x = 7,925,320.19/2,532.80
  6. Step 6: Final answer
    x = 3,129.07

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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.