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Finding the Fourth Proportional to 2,839.65, 4,259.92 and 1,452.23

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Solution

The fourth proportional to 2,839.65, 4,259.92 and 1,452.23 is: 2,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.65 : 4,259.92 = 1,452.23 : x
  2. Step 2: Convert to fraction form
    2,839.65/4,259.92 = 1,452.23/x
  3. Step 3: Cross multiply
    2,839.65x = 4,259.92 × 1,452.23
  4. Step 4: Simplify right side
    2,839.65x = 6,186,383.62
  5. Step 5: Solve for x
    x = 6,186,383.62/2,839.65
  6. Step 6: Final answer
    x = 2,178.57

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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.