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Finding the Fourth Proportional to 1,872.81, 2,805.56 and 1,221.57

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Solution

The fourth proportional to 1,872.81, 2,805.56 and 1,221.57 is: 1,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.81 : 2,805.56 = 1,221.57 : x
  2. Step 2: Convert to fraction form
    1,872.81/2,805.56 = 1,221.57/x
  3. Step 3: Cross multiply
    1,872.81x = 2,805.56 × 1,221.57
  4. Step 4: Simplify right side
    1,872.81x = 3,427,181.82
  5. Step 5: Solve for x
    x = 3,427,181.82/1,872.81
  6. Step 6: Final answer
    x = 1,829.97

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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.