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Finding the Fourth Proportional to 2,882.42, 4,323.45 and 1,149.80

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Solution

The fourth proportional to 2,882.42, 4,323.45 and 1,149.80 is: 1,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.42 : 4,323.45 = 1,149.80 : x
  2. Step 2: Convert to fraction form
    2,882.42/4,323.45 = 1,149.80/x
  3. Step 3: Cross multiply
    2,882.42x = 4,323.45 × 1,149.80
  4. Step 4: Simplify right side
    2,882.42x = 4,971,102.81
  5. Step 5: Solve for x
    x = 4,971,102.81/2,882.42
  6. Step 6: Final answer
    x = 1,724.63

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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.