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Finding the Fourth Proportional to 1,856.32, 2,782.65 and 1,198.09

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Solution

The fourth proportional to 1,856.32, 2,782.65 and 1,198.09 is: 1,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.32 : 2,782.65 = 1,198.09 : x
  2. Step 2: Convert to fraction form
    1,856.32/2,782.65 = 1,198.09/x
  3. Step 3: Cross multiply
    1,856.32x = 2,782.65 × 1,198.09
  4. Step 4: Simplify right side
    1,856.32x = 3,333,873.11
  5. Step 5: Solve for x
    x = 3,333,873.11/1,856.32
  6. Step 6: Final answer
    x = 1,795.96

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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.