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Finding the Fourth Proportional to 1,289.17, 1,782.54 and 1,268.32

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Solution

The fourth proportional to 1,289.17, 1,782.54 and 1,268.32 is: 1,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.17 : 1,782.54 = 1,268.32 : x
  2. Step 2: Convert to fraction form
    1,289.17/1,782.54 = 1,268.32/x
  3. Step 3: Cross multiply
    1,289.17x = 1,782.54 × 1,268.32
  4. Step 4: Simplify right side
    1,289.17x = 2,260,826.68
  5. Step 5: Solve for x
    x = 2,260,826.68/1,289.17
  6. Step 6: Final answer
    x = 1,753.71

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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.