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Finding the Fourth Proportional to 1,728.72, 2,384.66 and 1,065.10

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Solution

The fourth proportional to 1,728.72, 2,384.66 and 1,065.10 is: 1,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.72 : 2,384.66 = 1,065.10 : x
  2. Step 2: Convert to fraction form
    1,728.72/2,384.66 = 1,065.10/x
  3. Step 3: Cross multiply
    1,728.72x = 2,384.66 × 1,065.10
  4. Step 4: Simplify right side
    1,728.72x = 2,539,901.37
  5. Step 5: Solve for x
    x = 2,539,901.37/1,728.72
  6. Step 6: Final answer
    x = 1,469.24

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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.