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Finding the Fourth Proportional to 2,218.75, 3,062.28 and 1,287.25

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Solution

The fourth proportional to 2,218.75, 3,062.28 and 1,287.25 is: 1,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.75 : 3,062.28 = 1,287.25 : x
  2. Step 2: Convert to fraction form
    2,218.75/3,062.28 = 1,287.25/x
  3. Step 3: Cross multiply
    2,218.75x = 3,062.28 × 1,287.25
  4. Step 4: Simplify right side
    2,218.75x = 3,941,919.93
  5. Step 5: Solve for x
    x = 3,941,919.93/2,218.75
  6. Step 6: Final answer
    x = 1,776.64

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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.