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Finding the Fourth Proportional to 2,191.52, 3,024.14 and 1,196.78

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Solution

The fourth proportional to 2,191.52, 3,024.14 and 1,196.78 is: 1,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.52 : 3,024.14 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    2,191.52/3,024.14 = 1,196.78/x
  3. Step 3: Cross multiply
    2,191.52x = 3,024.14 × 1,196.78
  4. Step 4: Simplify right side
    2,191.52x = 3,619,209.16
  5. Step 5: Solve for x
    x = 3,619,209.16/2,191.52
  6. Step 6: Final answer
    x = 1,651.46

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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.