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Finding the Fourth Proportional to 1,601.60, 2,401.32 and 677.12

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Solution

The fourth proportional to 1,601.60, 2,401.32 and 677.12 is: 1,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.60 : 2,401.32 = 677.12 : x
  2. Step 2: Convert to fraction form
    1,601.60/2,401.32 = 677.12/x
  3. Step 3: Cross multiply
    1,601.60x = 2,401.32 × 677.12
  4. Step 4: Simplify right side
    1,601.60x = 1,625,981.80
  5. Step 5: Solve for x
    x = 1,625,981.80/1,601.60
  6. Step 6: Final answer
    x = 1,015.22

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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.