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Finding the Fourth Proportional to 1,726.68, 2,383.02 and 1,201.80

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Solution

The fourth proportional to 1,726.68, 2,383.02 and 1,201.80 is: 1,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.68 : 2,383.02 = 1,201.80 : x
  2. Step 2: Convert to fraction form
    1,726.68/2,383.02 = 1,201.80/x
  3. Step 3: Cross multiply
    1,726.68x = 2,383.02 × 1,201.80
  4. Step 4: Simplify right side
    1,726.68x = 2,863,913.44
  5. Step 5: Solve for x
    x = 2,863,913.44/1,726.68
  6. Step 6: Final answer
    x = 1,658.62

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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.