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Finding the Fourth Proportional to 2,614, 3,606.98 and 1,434.76

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Solution

The fourth proportional to 2,614, 3,606.98 and 1,434.76 is: 1,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614 : 3,606.98 = 1,434.76 : x
  2. Step 2: Convert to fraction form
    2,614/3,606.98 = 1,434.76/x
  3. Step 3: Cross multiply
    2,614x = 3,606.98 × 1,434.76
  4. Step 4: Simplify right side
    2,614x = 5,175,150.62
  5. Step 5: Solve for x
    x = 5,175,150.62/2,614
  6. Step 6: Final answer
    x = 1,979.78

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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.