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Finding the Fourth Proportional to 2,191.77, 3,024.53 and 1,196.85

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Solution

The fourth proportional to 2,191.77, 3,024.53 and 1,196.85 is: 1,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.77 : 3,024.53 = 1,196.85 : x
  2. Step 2: Convert to fraction form
    2,191.77/3,024.53 = 1,196.85/x
  3. Step 3: Cross multiply
    2,191.77x = 3,024.53 × 1,196.85
  4. Step 4: Simplify right side
    2,191.77x = 3,619,918.58
  5. Step 5: Solve for x
    x = 3,619,918.58/2,191.77
  6. Step 6: Final answer
    x = 1,651.60

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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.