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Finding the Fourth Proportional to 3,266.45, 4,507.71 and 1,774.39

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Solution

The fourth proportional to 3,266.45, 4,507.71 and 1,774.39 is: 2,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.45 : 4,507.71 = 1,774.39 : x
  2. Step 2: Convert to fraction form
    3,266.45/4,507.71 = 1,774.39/x
  3. Step 3: Cross multiply
    3,266.45x = 4,507.71 × 1,774.39
  4. Step 4: Simplify right side
    3,266.45x = 7,998,435.55
  5. Step 5: Solve for x
    x = 7,998,435.55/3,266.45
  6. Step 6: Final answer
    x = 2,448.66

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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.