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Finding the Fourth Proportional to 2,689, 3,711.48 and 1,641.94

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Solution

The fourth proportional to 2,689, 3,711.48 and 1,641.94 is: 2,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689 : 3,711.48 = 1,641.94 : x
  2. Step 2: Convert to fraction form
    2,689/3,711.48 = 1,641.94/x
  3. Step 3: Cross multiply
    2,689x = 3,711.48 × 1,641.94
  4. Step 4: Simplify right side
    2,689x = 6,094,027.47
  5. Step 5: Solve for x
    x = 6,094,027.47/2,689
  6. Step 6: Final answer
    x = 2,266.28

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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.