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Finding the Fourth Proportional to 3,266.29, 4,507.46 and 1,774.20

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Solution

The fourth proportional to 3,266.29, 4,507.46 and 1,774.20 is: 2,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.29 : 4,507.46 = 1,774.20 : x
  2. Step 2: Convert to fraction form
    3,266.29/4,507.46 = 1,774.20/x
  3. Step 3: Cross multiply
    3,266.29x = 4,507.46 × 1,774.20
  4. Step 4: Simplify right side
    3,266.29x = 7,997,135.53
  5. Step 5: Solve for x
    x = 7,997,135.53/3,266.29
  6. Step 6: Final answer
    x = 2,448.39

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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.