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Finding the Fourth Proportional to 1,866.87, 2,799.86 and 826.30

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Solution

The fourth proportional to 1,866.87, 2,799.86 and 826.30 is: 1,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.87 : 2,799.86 = 826.30 : x
  2. Step 2: Convert to fraction form
    1,866.87/2,799.86 = 826.30/x
  3. Step 3: Cross multiply
    1,866.87x = 2,799.86 × 826.30
  4. Step 4: Simplify right side
    1,866.87x = 2,313,524.32
  5. Step 5: Solve for x
    x = 2,313,524.32/1,866.87
  6. Step 6: Final answer
    x = 1,239.25

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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.