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Finding the Fourth Proportional to 1,728.02, 2,385.30 and 1,169.73

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Solution

The fourth proportional to 1,728.02, 2,385.30 and 1,169.73 is: 1,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.02 : 2,385.30 = 1,169.73 : x
  2. Step 2: Convert to fraction form
    1,728.02/2,385.30 = 1,169.73/x
  3. Step 3: Cross multiply
    1,728.02x = 2,385.30 × 1,169.73
  4. Step 4: Simplify right side
    1,728.02x = 2,790,156.97
  5. Step 5: Solve for x
    x = 2,790,156.97/1,728.02
  6. Step 6: Final answer
    x = 1,614.66

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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.