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Finding the Fourth Proportional to 2,032.20, 3,048.49 and 571.35

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Solution

The fourth proportional to 2,032.20, 3,048.49 and 571.35 is: 857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.20 : 3,048.49 = 571.35 : x
  2. Step 2: Convert to fraction form
    2,032.20/3,048.49 = 571.35/x
  3. Step 3: Cross multiply
    2,032.20x = 3,048.49 × 571.35
  4. Step 4: Simplify right side
    2,032.20x = 1,741,754.76
  5. Step 5: Solve for x
    x = 1,741,754.76/2,032.20
  6. Step 6: Final answer
    x = 857.08

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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.