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Finding the Fourth Proportional to 2,675.79, 3,695.40 and 2,229.39

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Solution

The fourth proportional to 2,675.79, 3,695.40 and 2,229.39 is: 3,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.79 : 3,695.40 = 2,229.39 : x
  2. Step 2: Convert to fraction form
    2,675.79/3,695.40 = 2,229.39/x
  3. Step 3: Cross multiply
    2,675.79x = 3,695.40 × 2,229.39
  4. Step 4: Simplify right side
    2,675.79x = 8,238,487.81
  5. Step 5: Solve for x
    x = 8,238,487.81/2,675.79
  6. Step 6: Final answer
    x = 3,078.90

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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.