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Finding the Fourth Proportional to 1,833.31, 2,751.33 and 860.09

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Solution

The fourth proportional to 1,833.31, 2,751.33 and 860.09 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.31 : 2,751.33 = 860.09 : x
  2. Step 2: Convert to fraction form
    1,833.31/2,751.33 = 860.09/x
  3. Step 3: Cross multiply
    1,833.31x = 2,751.33 × 860.09
  4. Step 4: Simplify right side
    1,833.31x = 2,366,400.47
  5. Step 5: Solve for x
    x = 2,366,400.47/1,833.31
  6. Step 6: Final answer
    x = 1,290.78

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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.