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Finding the Fourth Proportional to 2,488.75, 3,434.56 and 1,369.78

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Solution

The fourth proportional to 2,488.75, 3,434.56 and 1,369.78 is: 1,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.75 : 3,434.56 = 1,369.78 : x
  2. Step 2: Convert to fraction form
    2,488.75/3,434.56 = 1,369.78/x
  3. Step 3: Cross multiply
    2,488.75x = 3,434.56 × 1,369.78
  4. Step 4: Simplify right side
    2,488.75x = 4,704,591.60
  5. Step 5: Solve for x
    x = 4,704,591.60/2,488.75
  6. Step 6: Final answer
    x = 1,890.34

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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.