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Finding the Fourth Proportional to 2,488.46, 3,434.13 and 1,369.46

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Solution

The fourth proportional to 2,488.46, 3,434.13 and 1,369.46 is: 1,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.46 : 3,434.13 = 1,369.46 : x
  2. Step 2: Convert to fraction form
    2,488.46/3,434.13 = 1,369.46/x
  3. Step 3: Cross multiply
    2,488.46x = 3,434.13 × 1,369.46
  4. Step 4: Simplify right side
    2,488.46x = 4,702,912.26
  5. Step 5: Solve for x
    x = 4,702,912.26/2,488.46
  6. Step 6: Final answer
    x = 1,889.89

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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.