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Finding the Fourth Proportional to 1,727.46, 2,384.02 and 1,309.08

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Solution

The fourth proportional to 1,727.46, 2,384.02 and 1,309.08 is: 1,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.46 : 2,384.02 = 1,309.08 : x
  2. Step 2: Convert to fraction form
    1,727.46/2,384.02 = 1,309.08/x
  3. Step 3: Cross multiply
    1,727.46x = 2,384.02 × 1,309.08
  4. Step 4: Simplify right side
    1,727.46x = 3,120,872.90
  5. Step 5: Solve for x
    x = 3,120,872.90/1,727.46
  6. Step 6: Final answer
    x = 1,806.63

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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.