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Finding the Fourth Proportional to 2,849.74, 4,268.94 and 2,265.74

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Solution

The fourth proportional to 2,849.74, 4,268.94 and 2,265.74 is: 3,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.74 : 4,268.94 = 2,265.74 : x
  2. Step 2: Convert to fraction form
    2,849.74/4,268.94 = 2,265.74/x
  3. Step 3: Cross multiply
    2,849.74x = 4,268.94 × 2,265.74
  4. Step 4: Simplify right side
    2,849.74x = 9,672,308.12
  5. Step 5: Solve for x
    x = 9,672,308.12/2,849.74
  6. Step 6: Final answer
    x = 3,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.