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Finding the Fourth Proportional to 3,266.40, 4,505.84 and 2,069.19

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Solution

The fourth proportional to 3,266.40, 4,505.84 and 2,069.19 is: 2,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.40 : 4,505.84 = 2,069.19 : x
  2. Step 2: Convert to fraction form
    3,266.40/4,505.84 = 2,069.19/x
  3. Step 3: Cross multiply
    3,266.40x = 4,505.84 × 2,069.19
  4. Step 4: Simplify right side
    3,266.40x = 9,323,428.72
  5. Step 5: Solve for x
    x = 9,323,428.72/3,266.40
  6. Step 6: Final answer
    x = 2,854.34

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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.