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Finding the Fourth Proportional to 2,708.57, 4,063.01 and 760.92

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Solution

The fourth proportional to 2,708.57, 4,063.01 and 760.92 is: 1,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.57 : 4,063.01 = 760.92 : x
  2. Step 2: Convert to fraction form
    2,708.57/4,063.01 = 760.92/x
  3. Step 3: Cross multiply
    2,708.57x = 4,063.01 × 760.92
  4. Step 4: Simplify right side
    2,708.57x = 3,091,621.76
  5. Step 5: Solve for x
    x = 3,091,621.76/2,708.57
  6. Step 6: Final answer
    x = 1,141.42

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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.