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Finding the Fourth Proportional to 2,191.41, 3,024.01 and 1,196.49

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Solution

The fourth proportional to 2,191.41, 3,024.01 and 1,196.49 is: 1,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.41 : 3,024.01 = 1,196.49 : x
  2. Step 2: Convert to fraction form
    2,191.41/3,024.01 = 1,196.49/x
  3. Step 3: Cross multiply
    2,191.41x = 3,024.01 × 1,196.49
  4. Step 4: Simplify right side
    2,191.41x = 3,618,197.72
  5. Step 5: Solve for x
    x = 3,618,197.72/2,191.41
  6. Step 6: Final answer
    x = 1,651.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.