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Finding the Fourth Proportional to 1,385.92, 2,068.25 and 1,268.20

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Solution

The fourth proportional to 1,385.92, 2,068.25 and 1,268.20 is: 1,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.92 : 2,068.25 = 1,268.20 : x
  2. Step 2: Convert to fraction form
    1,385.92/2,068.25 = 1,268.20/x
  3. Step 3: Cross multiply
    1,385.92x = 2,068.25 × 1,268.20
  4. Step 4: Simplify right side
    1,385.92x = 2,622,954.65
  5. Step 5: Solve for x
    x = 2,622,954.65/1,385.92
  6. Step 6: Final answer
    x = 1,892.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.