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Finding the Fourth Proportional to 2,805.73, 3,871.66 and 1,686.21

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Solution

The fourth proportional to 2,805.73, 3,871.66 and 1,686.21 is: 2,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.73 : 3,871.66 = 1,686.21 : x
  2. Step 2: Convert to fraction form
    2,805.73/3,871.66 = 1,686.21/x
  3. Step 3: Cross multiply
    2,805.73x = 3,871.66 × 1,686.21
  4. Step 4: Simplify right side
    2,805.73x = 6,528,431.81
  5. Step 5: Solve for x
    x = 6,528,431.81/2,805.73
  6. Step 6: Final answer
    x = 2,326.82

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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.