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Finding the Fourth Proportional to 1,850.87, 2,553.77 and 1,105.07

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Solution

The fourth proportional to 1,850.87, 2,553.77 and 1,105.07 is: 1,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.87 : 2,553.77 = 1,105.07 : x
  2. Step 2: Convert to fraction form
    1,850.87/2,553.77 = 1,105.07/x
  3. Step 3: Cross multiply
    1,850.87x = 2,553.77 × 1,105.07
  4. Step 4: Simplify right side
    1,850.87x = 2,822,084.61
  5. Step 5: Solve for x
    x = 2,822,084.61/1,850.87
  6. Step 6: Final answer
    x = 1,524.74

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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.