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Finding the Fourth Proportional to 3,266.89, 4,508.17 and 1,774.77

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Solution

The fourth proportional to 3,266.89, 4,508.17 and 1,774.77 is: 2,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.89 : 4,508.17 = 1,774.77 : x
  2. Step 2: Convert to fraction form
    3,266.89/4,508.17 = 1,774.77/x
  3. Step 3: Cross multiply
    3,266.89x = 4,508.17 × 1,774.77
  4. Step 4: Simplify right side
    3,266.89x = 8,000,964.87
  5. Step 5: Solve for x
    x = 8,000,964.87/3,266.89
  6. Step 6: Final answer
    x = 2,449.11

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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.