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Finding the Fourth Proportional to 1,728.75, 2,385.73 and 1,065.12

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Solution

The fourth proportional to 1,728.75, 2,385.73 and 1,065.12 is: 1,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.75 : 2,385.73 = 1,065.12 : x
  2. Step 2: Convert to fraction form
    1,728.75/2,385.73 = 1,065.12/x
  3. Step 3: Cross multiply
    1,728.75x = 2,385.73 × 1,065.12
  4. Step 4: Simplify right side
    1,728.75x = 2,541,088.74
  5. Step 5: Solve for x
    x = 2,541,088.74/1,728.75
  6. Step 6: Final answer
    x = 1,469.90

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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.