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Finding the Fourth Proportional to 2,052.71, 3,079.01 and 571.92

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Solution

The fourth proportional to 2,052.71, 3,079.01 and 571.92 is: 857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.71 : 3,079.01 = 571.92 : x
  2. Step 2: Convert to fraction form
    2,052.71/3,079.01 = 571.92/x
  3. Step 3: Cross multiply
    2,052.71x = 3,079.01 × 571.92
  4. Step 4: Simplify right side
    2,052.71x = 1,760,944.54
  5. Step 5: Solve for x
    x = 1,760,944.54/2,052.71
  6. Step 6: Final answer
    x = 857.87

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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.