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Finding the Fourth Proportional to 2,708.13, 4,062.30 and 760.39

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Solution

The fourth proportional to 2,708.13, 4,062.30 and 760.39 is: 1,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.13 : 4,062.30 = 760.39 : x
  2. Step 2: Convert to fraction form
    2,708.13/4,062.30 = 760.39/x
  3. Step 3: Cross multiply
    2,708.13x = 4,062.30 × 760.39
  4. Step 4: Simplify right side
    2,708.13x = 3,088,922.14
  5. Step 5: Solve for x
    x = 3,088,922.14/2,708.13
  6. Step 6: Final answer
    x = 1,140.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.