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Finding the Fourth Proportional to 1,601.89, 2,403.08 and 677.45

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Solution

The fourth proportional to 1,601.89, 2,403.08 and 677.45 is: 1,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.89 : 2,403.08 = 677.45 : x
  2. Step 2: Convert to fraction form
    1,601.89/2,403.08 = 677.45/x
  3. Step 3: Cross multiply
    1,601.89x = 2,403.08 × 677.45
  4. Step 4: Simplify right side
    1,601.89x = 1,627,951.14
  5. Step 5: Solve for x
    x = 1,627,951.14/1,601.89
  6. Step 6: Final answer
    x = 1,016.27

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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.