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Finding the Fourth Proportional to 1,686.72, 2,328.20 and 1,371.73

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Solution

The fourth proportional to 1,686.72, 2,328.20 and 1,371.73 is: 1,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.72 : 2,328.20 = 1,371.73 : x
  2. Step 2: Convert to fraction form
    1,686.72/2,328.20 = 1,371.73/x
  3. Step 3: Cross multiply
    1,686.72x = 2,328.20 × 1,371.73
  4. Step 4: Simplify right side
    1,686.72x = 3,193,661.79
  5. Step 5: Solve for x
    x = 3,193,661.79/1,686.72
  6. Step 6: Final answer
    x = 1,893.42

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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.