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Finding the Fourth Proportional to 2,032.16, 3,048.82 and 571.33

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Solution

The fourth proportional to 2,032.16, 3,048.82 and 571.33 is: 857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.16 : 3,048.82 = 571.33 : x
  2. Step 2: Convert to fraction form
    2,032.16/3,048.82 = 571.33/x
  3. Step 3: Cross multiply
    2,032.16x = 3,048.82 × 571.33
  4. Step 4: Simplify right side
    2,032.16x = 1,741,873.28
  5. Step 5: Solve for x
    x = 1,741,873.28/2,032.16
  6. Step 6: Final answer
    x = 857.15

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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.