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Finding the Fourth Proportional to 2,821.72, 4,233.28 and 1,066.72

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Solution

The fourth proportional to 2,821.72, 4,233.28 and 1,066.72 is: 1,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.72 : 4,233.28 = 1,066.72 : x
  2. Step 2: Convert to fraction form
    2,821.72/4,233.28 = 1,066.72/x
  3. Step 3: Cross multiply
    2,821.72x = 4,233.28 × 1,066.72
  4. Step 4: Simplify right side
    2,821.72x = 4,515,724.44
  5. Step 5: Solve for x
    x = 4,515,724.44/2,821.72
  6. Step 6: Final answer
    x = 1,600.34

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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.