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Finding the Fourth Proportional to 3,167.90, 4,371.66 and 1,751.68

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Solution

The fourth proportional to 3,167.90, 4,371.66 and 1,751.68 is: 2,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.90 : 4,371.66 = 1,751.68 : x
  2. Step 2: Convert to fraction form
    3,167.90/4,371.66 = 1,751.68/x
  3. Step 3: Cross multiply
    3,167.90x = 4,371.66 × 1,751.68
  4. Step 4: Simplify right side
    3,167.90x = 7,657,738.46
  5. Step 5: Solve for x
    x = 7,657,738.46/3,167.90
  6. Step 6: Final answer
    x = 2,417.30

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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.