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Finding the Fourth Proportional to 2,191.63, 3,024.31 and 1,196.70

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Solution

The fourth proportional to 2,191.63, 3,024.31 and 1,196.70 is: 1,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.63 : 3,024.31 = 1,196.70 : x
  2. Step 2: Convert to fraction form
    2,191.63/3,024.31 = 1,196.70/x
  3. Step 3: Cross multiply
    2,191.63x = 3,024.31 × 1,196.70
  4. Step 4: Simplify right side
    2,191.63x = 3,619,206.86
  5. Step 5: Solve for x
    x = 3,619,206.86/2,191.63
  6. Step 6: Final answer
    x = 1,651.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.