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Finding the Fourth Proportional to 1,727.81, 2,593.03 and 1,266.76

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Solution

The fourth proportional to 1,727.81, 2,593.03 and 1,266.76 is: 1,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.81 : 2,593.03 = 1,266.76 : x
  2. Step 2: Convert to fraction form
    1,727.81/2,593.03 = 1,266.76/x
  3. Step 3: Cross multiply
    1,727.81x = 2,593.03 × 1,266.76
  4. Step 4: Simplify right side
    1,727.81x = 3,284,746.68
  5. Step 5: Solve for x
    x = 3,284,746.68/1,727.81
  6. Step 6: Final answer
    x = 1,901.10

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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.