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Finding the Fourth Proportional to 2,109.69, 3,165.08 and 811.26

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Solution

The fourth proportional to 2,109.69, 3,165.08 and 811.26 is: 1,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.69 : 3,165.08 = 811.26 : x
  2. Step 2: Convert to fraction form
    2,109.69/3,165.08 = 811.26/x
  3. Step 3: Cross multiply
    2,109.69x = 3,165.08 × 811.26
  4. Step 4: Simplify right side
    2,109.69x = 2,567,698.74
  5. Step 5: Solve for x
    x = 2,567,698.74/2,109.69
  6. Step 6: Final answer
    x = 1,217.10

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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.