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Finding the Fourth Proportional to 2,191.68, 3,024.63 and 1,196.93

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Solution

The fourth proportional to 2,191.68, 3,024.63 and 1,196.93 is: 1,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.68 : 3,024.63 = 1,196.93 : x
  2. Step 2: Convert to fraction form
    2,191.68/3,024.63 = 1,196.93/x
  3. Step 3: Cross multiply
    2,191.68x = 3,024.63 × 1,196.93
  4. Step 4: Simplify right side
    2,191.68x = 3,620,255.26
  5. Step 5: Solve for x
    x = 3,620,255.26/2,191.68
  6. Step 6: Final answer
    x = 1,651.82

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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.