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Finding the Fourth Proportional to 2,191.94, 3,024.83 and 1,197.12

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Solution

The fourth proportional to 2,191.94, 3,024.83 and 1,197.12 is: 1,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.94 : 3,024.83 = 1,197.12 : x
  2. Step 2: Convert to fraction form
    2,191.94/3,024.83 = 1,197.12/x
  3. Step 3: Cross multiply
    2,191.94x = 3,024.83 × 1,197.12
  4. Step 4: Simplify right side
    2,191.94x = 3,621,087.48
  5. Step 5: Solve for x
    x = 3,621,087.48/2,191.94
  6. Step 6: Final answer
    x = 1,652.00

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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.