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Finding the Fourth Proportional to 1,608.26, 2,218.86 and 1,018.71

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Solution

The fourth proportional to 1,608.26, 2,218.86 and 1,018.71 is: 1,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.26 : 2,218.86 = 1,018.71 : x
  2. Step 2: Convert to fraction form
    1,608.26/2,218.86 = 1,018.71/x
  3. Step 3: Cross multiply
    1,608.26x = 2,218.86 × 1,018.71
  4. Step 4: Simplify right side
    1,608.26x = 2,260,374.87
  5. Step 5: Solve for x
    x = 2,260,374.87/1,608.26
  6. Step 6: Final answer
    x = 1,405.48

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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.