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Finding the Fourth Proportional to 2,867.25, 3,958.65 and 1,806.48

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Solution

The fourth proportional to 2,867.25, 3,958.65 and 1,806.48 is: 2,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.25 : 3,958.65 = 1,806.48 : x
  2. Step 2: Convert to fraction form
    2,867.25/3,958.65 = 1,806.48/x
  3. Step 3: Cross multiply
    2,867.25x = 3,958.65 × 1,806.48
  4. Step 4: Simplify right side
    2,867.25x = 7,151,222.05
  5. Step 5: Solve for x
    x = 7,151,222.05/2,867.25
  6. Step 6: Final answer
    x = 2,494.10

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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.