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Finding the Fourth Proportional to 2,606.49, 3,903.66 and 1,287.81

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Solution

The fourth proportional to 2,606.49, 3,903.66 and 1,287.81 is: 1,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.49 : 3,903.66 = 1,287.81 : x
  2. Step 2: Convert to fraction form
    2,606.49/3,903.66 = 1,287.81/x
  3. Step 3: Cross multiply
    2,606.49x = 3,903.66 × 1,287.81
  4. Step 4: Simplify right side
    2,606.49x = 5,027,172.38
  5. Step 5: Solve for x
    x = 5,027,172.38/2,606.49
  6. Step 6: Final answer
    x = 1,928.71

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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.