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Finding the Fourth Proportional to 1,601.62, 2,402.52 and 677.05

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Solution

The fourth proportional to 1,601.62, 2,402.52 and 677.05 is: 1,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.62 : 2,402.52 = 677.05 : x
  2. Step 2: Convert to fraction form
    1,601.62/2,402.52 = 677.05/x
  3. Step 3: Cross multiply
    1,601.62x = 2,402.52 × 677.05
  4. Step 4: Simplify right side
    1,601.62x = 1,626,617.62
  5. Step 5: Solve for x
    x = 1,626,617.62/1,601.62
  6. Step 6: Final answer
    x = 1,015.61

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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.