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Finding the Fourth Proportional to 2,752.68, 4,143.91 and 2,514.60

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Solution

The fourth proportional to 2,752.68, 4,143.91 and 2,514.60 is: 3,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.68 : 4,143.91 = 2,514.60 : x
  2. Step 2: Convert to fraction form
    2,752.68/4,143.91 = 2,514.60/x
  3. Step 3: Cross multiply
    2,752.68x = 4,143.91 × 2,514.60
  4. Step 4: Simplify right side
    2,752.68x = 10,420,276.09
  5. Step 5: Solve for x
    x = 10,420,276.09/2,752.68
  6. Step 6: Final answer
    x = 3,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.