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Finding the Fourth Proportional to 2,032.74, 3,049.11 and 571.94

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Solution

The fourth proportional to 2,032.74, 3,049.11 and 571.94 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.74 : 3,049.11 = 571.94 : x
  2. Step 2: Convert to fraction form
    2,032.74/3,049.11 = 571.94/x
  3. Step 3: Cross multiply
    2,032.74x = 3,049.11 × 571.94
  4. Step 4: Simplify right side
    2,032.74x = 1,743,915.60
  5. Step 5: Solve for x
    x = 1,743,915.60/2,032.74
  6. Step 6: Final answer
    x = 857.91

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