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Finding the Fourth Proportional to 2,809.49, 3,877.00 and 1,689.80

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Solution

The fourth proportional to 2,809.49, 3,877.00 and 1,689.80 is: 2,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.49 : 3,877.00 = 1,689.80 : x
  2. Step 2: Convert to fraction form
    2,809.49/3,877.00 = 1,689.80/x
  3. Step 3: Cross multiply
    2,809.49x = 3,877.00 × 1,689.80
  4. Step 4: Simplify right side
    2,809.49x = 6,551,330.99
  5. Step 5: Solve for x
    x = 6,551,330.99/2,809.49
  6. Step 6: Final answer
    x = 2,331.86

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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.