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Finding the Fourth Proportional to 2,032.18, 3,048.01 and 571.44

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Solution

The fourth proportional to 2,032.18, 3,048.01 and 571.44 is: 857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.18 : 3,048.01 = 571.44 : x
  2. Step 2: Convert to fraction form
    2,032.18/3,048.01 = 571.44/x
  3. Step 3: Cross multiply
    2,032.18x = 3,048.01 × 571.44
  4. Step 4: Simplify right side
    2,032.18x = 1,741,754.83
  5. Step 5: Solve for x
    x = 1,741,754.83/2,032.18
  6. Step 6: Final answer
    x = 857.09

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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.