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Finding the Fourth Proportional to 2,032.71, 3,049.05 and 571.85

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Solution

The fourth proportional to 2,032.71, 3,049.05 and 571.85 is: 857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.71 : 3,049.05 = 571.85 : x
  2. Step 2: Convert to fraction form
    2,032.71/3,049.05 = 571.85/x
  3. Step 3: Cross multiply
    2,032.71x = 3,049.05 × 571.85
  4. Step 4: Simplify right side
    2,032.71x = 1,743,606.87
  5. Step 5: Solve for x
    x = 1,743,606.87/2,032.71
  6. Step 6: Final answer
    x = 857.77

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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.