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Finding the Fourth Proportional to 3,174.71, 4,763.14 and 1,634.63

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Solution

The fourth proportional to 3,174.71, 4,763.14 and 1,634.63 is: 2,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.71 : 4,763.14 = 1,634.63 : x
  2. Step 2: Convert to fraction form
    3,174.71/4,763.14 = 1,634.63/x
  3. Step 3: Cross multiply
    3,174.71x = 4,763.14 × 1,634.63
  4. Step 4: Simplify right side
    3,174.71x = 7,785,943.64
  5. Step 5: Solve for x
    x = 7,785,943.64/3,174.71
  6. Step 6: Final answer
    x = 2,452.49

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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.