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Finding the Fourth Proportional to 2,187.25, 3,018.54 and 1,255.75

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Solution

The fourth proportional to 2,187.25, 3,018.54 and 1,255.75 is: 1,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.25 : 3,018.54 = 1,255.75 : x
  2. Step 2: Convert to fraction form
    2,187.25/3,018.54 = 1,255.75/x
  3. Step 3: Cross multiply
    2,187.25x = 3,018.54 × 1,255.75
  4. Step 4: Simplify right side
    2,187.25x = 3,790,531.61
  5. Step 5: Solve for x
    x = 3,790,531.61/2,187.25
  6. Step 6: Final answer
    x = 1,733.01

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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.