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Finding the Fourth Proportional to 1,769.39, 2,442.05 and 1,722.59

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Solution

The fourth proportional to 1,769.39, 2,442.05 and 1,722.59 is: 2,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.39 : 2,442.05 = 1,722.59 : x
  2. Step 2: Convert to fraction form
    1,769.39/2,442.05 = 1,722.59/x
  3. Step 3: Cross multiply
    1,769.39x = 2,442.05 × 1,722.59
  4. Step 4: Simplify right side
    1,769.39x = 4,206,650.91
  5. Step 5: Solve for x
    x = 4,206,650.91/1,769.39
  6. Step 6: Final answer
    x = 2,377.46

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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.