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Finding the Fourth Proportional to 2,805.89, 3,873.67 and 1,687.08

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Solution

The fourth proportional to 2,805.89, 3,873.67 and 1,687.08 is: 2,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.89 : 3,873.67 = 1,687.08 : x
  2. Step 2: Convert to fraction form
    2,805.89/3,873.67 = 1,687.08/x
  3. Step 3: Cross multiply
    2,805.89x = 3,873.67 × 1,687.08
  4. Step 4: Simplify right side
    2,805.89x = 6,535,189.19
  5. Step 5: Solve for x
    x = 6,535,189.19/2,805.89
  6. Step 6: Final answer
    x = 2,329.10

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