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Finding the Fourth Proportional to 2,110.19, 3,165.68 and 794.41

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Solution

The fourth proportional to 2,110.19, 3,165.68 and 794.41 is: 1,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.19 : 3,165.68 = 794.41 : x
  2. Step 2: Convert to fraction form
    2,110.19/3,165.68 = 794.41/x
  3. Step 3: Cross multiply
    2,110.19x = 3,165.68 × 794.41
  4. Step 4: Simplify right side
    2,110.19x = 2,514,841.92
  5. Step 5: Solve for x
    x = 2,514,841.92/2,110.19
  6. Step 6: Final answer
    x = 1,191.76

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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.