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Finding the Fourth Proportional to 2,758.52, 4,142.20 and 2,556.40

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Solution

The fourth proportional to 2,758.52, 4,142.20 and 2,556.40 is: 3,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.52 : 4,142.20 = 2,556.40 : x
  2. Step 2: Convert to fraction form
    2,758.52/4,142.20 = 2,556.40/x
  3. Step 3: Cross multiply
    2,758.52x = 4,142.20 × 2,556.40
  4. Step 4: Simplify right side
    2,758.52x = 10,589,120.08
  5. Step 5: Solve for x
    x = 10,589,120.08/2,758.52
  6. Step 6: Final answer
    x = 3,838.70

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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.