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Finding the Fourth Proportional to 1,728.84, 2,385.51 and 1,641.27

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Solution

The fourth proportional to 1,728.84, 2,385.51 and 1,641.27 is: 2,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.84 : 2,385.51 = 1,641.27 : x
  2. Step 2: Convert to fraction form
    1,728.84/2,385.51 = 1,641.27/x
  3. Step 3: Cross multiply
    1,728.84x = 2,385.51 × 1,641.27
  4. Step 4: Simplify right side
    1,728.84x = 3,915,266.00
  5. Step 5: Solve for x
    x = 3,915,266.00/1,728.84
  6. Step 6: Final answer
    x = 2,264.68

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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.