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Finding the Fourth Proportional to 2,838.25, 4,259.96 and 1,452.54

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Solution

The fourth proportional to 2,838.25, 4,259.96 and 1,452.54 is: 2,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.25 : 4,259.96 = 1,452.54 : x
  2. Step 2: Convert to fraction form
    2,838.25/4,259.96 = 1,452.54/x
  3. Step 3: Cross multiply
    2,838.25x = 4,259.96 × 1,452.54
  4. Step 4: Simplify right side
    2,838.25x = 6,187,776.46
  5. Step 5: Solve for x
    x = 6,187,776.46/2,838.25
  6. Step 6: Final answer
    x = 2,180.14

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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.