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Finding the Fourth Proportional to 1,906.10, 2,860.13 and 1,443.72

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Solution

The fourth proportional to 1,906.10, 2,860.13 and 1,443.72 is: 2,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.10 : 2,860.13 = 1,443.72 : x
  2. Step 2: Convert to fraction form
    1,906.10/2,860.13 = 1,443.72/x
  3. Step 3: Cross multiply
    1,906.10x = 2,860.13 × 1,443.72
  4. Step 4: Simplify right side
    1,906.10x = 4,129,233.10
  5. Step 5: Solve for x
    x = 4,129,233.10/1,906.10
  6. Step 6: Final answer
    x = 2,166.33

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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.