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Finding the Fourth Proportional to 1,769.71, 2,641.61 and 1,641.21

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Solution

The fourth proportional to 1,769.71, 2,641.61 and 1,641.21 is: 2,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.71 : 2,641.61 = 1,641.21 : x
  2. Step 2: Convert to fraction form
    1,769.71/2,641.61 = 1,641.21/x
  3. Step 3: Cross multiply
    1,769.71x = 2,641.61 × 1,641.21
  4. Step 4: Simplify right side
    1,769.71x = 4,335,436.75
  5. Step 5: Solve for x
    x = 4,335,436.75/1,769.71
  6. Step 6: Final answer
    x = 2,449.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.