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Finding the Fourth Proportional to 2,684.80, 4,023.64 and 1,452.52

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Solution

The fourth proportional to 2,684.80, 4,023.64 and 1,452.52 is: 2,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.80 : 4,023.64 = 1,452.52 : x
  2. Step 2: Convert to fraction form
    2,684.80/4,023.64 = 1,452.52/x
  3. Step 3: Cross multiply
    2,684.80x = 4,023.64 × 1,452.52
  4. Step 4: Simplify right side
    2,684.80x = 5,844,417.57
  5. Step 5: Solve for x
    x = 5,844,417.57/2,684.80
  6. Step 6: Final answer
    x = 2,176.85

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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.