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Finding the Fourth Proportional to 2,032.70, 3,048.87 and 571.91

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Solution

The fourth proportional to 2,032.70, 3,048.87 and 571.91 is: 857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.70 : 3,048.87 = 571.91 : x
  2. Step 2: Convert to fraction form
    2,032.70/3,048.87 = 571.91/x
  3. Step 3: Cross multiply
    2,032.70x = 3,048.87 × 571.91
  4. Step 4: Simplify right side
    2,032.70x = 1,743,679.24
  5. Step 5: Solve for x
    x = 1,743,679.24/2,032.70
  6. Step 6: Final answer
    x = 857.81

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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.