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Finding the Fourth Proportional to 1,788.41, 2,660.97 and 1,743.77

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Solution

The fourth proportional to 1,788.41, 2,660.97 and 1,743.77 is: 2,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.41 : 2,660.97 = 1,743.77 : x
  2. Step 2: Convert to fraction form
    1,788.41/2,660.97 = 1,743.77/x
  3. Step 3: Cross multiply
    1,788.41x = 2,660.97 × 1,743.77
  4. Step 4: Simplify right side
    1,788.41x = 4,640,119.66
  5. Step 5: Solve for x
    x = 4,640,119.66/1,788.41
  6. Step 6: Final answer
    x = 2,594.55

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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.