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Finding the Fourth Proportional to 2,191.89, 3,024.79 and 1,197.17

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Solution

The fourth proportional to 2,191.89, 3,024.79 and 1,197.17 is: 1,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.89 : 3,024.79 = 1,197.17 : x
  2. Step 2: Convert to fraction form
    2,191.89/3,024.79 = 1,197.17/x
  3. Step 3: Cross multiply
    2,191.89x = 3,024.79 × 1,197.17
  4. Step 4: Simplify right side
    2,191.89x = 3,621,187.84
  5. Step 5: Solve for x
    x = 3,621,187.84/2,191.89
  6. Step 6: Final answer
    x = 1,652.08

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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.