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Finding the Fourth Proportional to 3,266.94, 4,508.26 and 1,774.82

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Solution

The fourth proportional to 3,266.94, 4,508.26 and 1,774.82 is: 2,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.94 : 4,508.26 = 1,774.82 : x
  2. Step 2: Convert to fraction form
    3,266.94/4,508.26 = 1,774.82/x
  3. Step 3: Cross multiply
    3,266.94x = 4,508.26 × 1,774.82
  4. Step 4: Simplify right side
    3,266.94x = 8,001,350.01
  5. Step 5: Solve for x
    x = 8,001,350.01/3,266.94
  6. Step 6: Final answer
    x = 2,449.19

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Why These Related Problems?

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