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Finding the Fourth Proportional to 2,196.42, 3,294.99 and 1,041.54

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Solution

The fourth proportional to 2,196.42, 3,294.99 and 1,041.54 is: 1,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.42 : 3,294.99 = 1,041.54 : x
  2. Step 2: Convert to fraction form
    2,196.42/3,294.99 = 1,041.54/x
  3. Step 3: Cross multiply
    2,196.42x = 3,294.99 × 1,041.54
  4. Step 4: Simplify right side
    2,196.42x = 3,431,863.88
  5. Step 5: Solve for x
    x = 3,431,863.88/2,196.42
  6. Step 6: Final answer
    x = 1,562.48

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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.