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Finding the Fourth Proportional to 2,118.63, 3,175.11 and 1,193.82

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Solution

The fourth proportional to 2,118.63, 3,175.11 and 1,193.82 is: 1,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.63 : 3,175.11 = 1,193.82 : x
  2. Step 2: Convert to fraction form
    2,118.63/3,175.11 = 1,193.82/x
  3. Step 3: Cross multiply
    2,118.63x = 3,175.11 × 1,193.82
  4. Step 4: Simplify right side
    2,118.63x = 3,790,509.82
  5. Step 5: Solve for x
    x = 3,790,509.82/2,118.63
  6. Step 6: Final answer
    x = 1,789.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.