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Finding the Fourth Proportional to 2,191.86, 3,024.68 and 1,197.14

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Solution

The fourth proportional to 2,191.86, 3,024.68 and 1,197.14 is: 1,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.86 : 3,024.68 = 1,197.14 : x
  2. Step 2: Convert to fraction form
    2,191.86/3,024.68 = 1,197.14/x
  3. Step 3: Cross multiply
    2,191.86x = 3,024.68 × 1,197.14
  4. Step 4: Simplify right side
    2,191.86x = 3,620,944.31
  5. Step 5: Solve for x
    x = 3,620,944.31/2,191.86
  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.