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Finding the Fourth Proportional to 1,728.65, 2,384.76 and 1,065.11

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Solution

The fourth proportional to 1,728.65, 2,384.76 and 1,065.11 is: 1,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.65 : 2,384.76 = 1,065.11 : x
  2. Step 2: Convert to fraction form
    1,728.65/2,384.76 = 1,065.11/x
  3. Step 3: Cross multiply
    1,728.65x = 2,384.76 × 1,065.11
  4. Step 4: Simplify right side
    1,728.65x = 2,540,019.80
  5. Step 5: Solve for x
    x = 2,540,019.80/1,728.65
  6. Step 6: Final answer
    x = 1,469.37

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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.