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Finding the Fourth Proportional to 1,728.35, 2,385.63 and 1,640.16

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Solution

The fourth proportional to 1,728.35, 2,385.63 and 1,640.16 is: 2,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.35 : 2,385.63 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    1,728.35/2,385.63 = 1,640.16/x
  3. Step 3: Cross multiply
    1,728.35x = 2,385.63 × 1,640.16
  4. Step 4: Simplify right side
    1,728.35x = 3,912,814.90
  5. Step 5: Solve for x
    x = 3,912,814.90/1,728.35
  6. Step 6: Final answer
    x = 2,263.91

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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.