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Finding the Fourth Proportional to 2,191.61, 3,024.47 and 1,196.90

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Solution

The fourth proportional to 2,191.61, 3,024.47 and 1,196.90 is: 1,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.61 : 3,024.47 = 1,196.90 : x
  2. Step 2: Convert to fraction form
    2,191.61/3,024.47 = 1,196.90/x
  3. Step 3: Cross multiply
    2,191.61x = 3,024.47 × 1,196.90
  4. Step 4: Simplify right side
    2,191.61x = 3,619,967.04
  5. Step 5: Solve for x
    x = 3,619,967.04/2,191.61
  6. Step 6: Final answer
    x = 1,651.74

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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.