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Finding the Fourth Proportional to 2,109.31, 3,164.51 and 810.88

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Solution

The fourth proportional to 2,109.31, 3,164.51 and 810.88 is: 1,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.31 : 3,164.51 = 810.88 : x
  2. Step 2: Convert to fraction form
    2,109.31/3,164.51 = 810.88/x
  3. Step 3: Cross multiply
    2,109.31x = 3,164.51 × 810.88
  4. Step 4: Simplify right side
    2,109.31x = 2,566,037.87
  5. Step 5: Solve for x
    x = 2,566,037.87/2,109.31
  6. Step 6: Final answer
    x = 1,216.53

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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.