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Finding the Fourth Proportional to 2,949.01, 4,069.46 and 1,689.80

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Solution

The fourth proportional to 2,949.01, 4,069.46 and 1,689.80 is: 2,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.01 : 4,069.46 = 1,689.80 : x
  2. Step 2: Convert to fraction form
    2,949.01/4,069.46 = 1,689.80/x
  3. Step 3: Cross multiply
    2,949.01x = 4,069.46 × 1,689.80
  4. Step 4: Simplify right side
    2,949.01x = 6,876,557.39
  5. Step 5: Solve for x
    x = 6,876,557.39/2,949.01
  6. Step 6: Final answer
    x = 2,331.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.