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Finding the Fourth Proportional to 3,266.77, 4,508.23 and 1,774.78

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Solution

The fourth proportional to 3,266.77, 4,508.23 and 1,774.78 is: 2,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.77 : 4,508.23 = 1,774.78 : x
  2. Step 2: Convert to fraction form
    3,266.77/4,508.23 = 1,774.78/x
  3. Step 3: Cross multiply
    3,266.77x = 4,508.23 × 1,774.78
  4. Step 4: Simplify right side
    3,266.77x = 8,001,116.44
  5. Step 5: Solve for x
    x = 8,001,116.44/3,266.77
  6. Step 6: Final answer
    x = 2,449.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.