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Finding the Fourth Proportional to 1,601.71, 2,402.71 and 677.23

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Solution

The fourth proportional to 1,601.71, 2,402.71 and 677.23 is: 1,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.71 : 2,402.71 = 677.23 : x
  2. Step 2: Convert to fraction form
    1,601.71/2,402.71 = 677.23/x
  3. Step 3: Cross multiply
    1,601.71x = 2,402.71 × 677.23
  4. Step 4: Simplify right side
    1,601.71x = 1,627,179.59
  5. Step 5: Solve for x
    x = 1,627,179.59/1,601.71
  6. Step 6: Final answer
    x = 1,015.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.