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Finding the Fourth Proportional to 2,850.86, 4,277.16 and 1,389.80

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Solution

The fourth proportional to 2,850.86, 4,277.16 and 1,389.80 is: 2,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.86 : 4,277.16 = 1,389.80 : x
  2. Step 2: Convert to fraction form
    2,850.86/4,277.16 = 1,389.80/x
  3. Step 3: Cross multiply
    2,850.86x = 4,277.16 × 1,389.80
  4. Step 4: Simplify right side
    2,850.86x = 5,944,396.97
  5. Step 5: Solve for x
    x = 5,944,396.97/2,850.86
  6. Step 6: Final answer
    x = 2,085.12

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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.