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Finding the Fourth Proportional to 3,266.57, 4,507.86 and 1,774.49

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Solution

The fourth proportional to 3,266.57, 4,507.86 and 1,774.49 is: 2,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.57 : 4,507.86 = 1,774.49 : x
  2. Step 2: Convert to fraction form
    3,266.57/4,507.86 = 1,774.49/x
  3. Step 3: Cross multiply
    3,266.57x = 4,507.86 × 1,774.49
  4. Step 4: Simplify right side
    3,266.57x = 7,999,129.95
  5. Step 5: Solve for x
    x = 7,999,129.95/3,266.57
  6. Step 6: Final answer
    x = 2,448.79

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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.