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Finding the Fourth Proportional to 3,116.77, 4,301.61 and 1,938.22

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Solution

The fourth proportional to 3,116.77, 4,301.61 and 1,938.22 is: 2,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.77 : 4,301.61 = 1,938.22 : x
  2. Step 2: Convert to fraction form
    3,116.77/4,301.61 = 1,938.22/x
  3. Step 3: Cross multiply
    3,116.77x = 4,301.61 × 1,938.22
  4. Step 4: Simplify right side
    3,116.77x = 8,337,466.53
  5. Step 5: Solve for x
    x = 8,337,466.53/3,116.77
  6. Step 6: Final answer
    x = 2,675.03

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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.