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Finding the Fourth Proportional to 2,187.78, 3,284.10 and 1,215.78

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Solution

The fourth proportional to 2,187.78, 3,284.10 and 1,215.78 is: 1,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.78 : 3,284.10 = 1,215.78 : x
  2. Step 2: Convert to fraction form
    2,187.78/3,284.10 = 1,215.78/x
  3. Step 3: Cross multiply
    2,187.78x = 3,284.10 × 1,215.78
  4. Step 4: Simplify right side
    2,187.78x = 3,992,743.10
  5. Step 5: Solve for x
    x = 3,992,743.10/2,187.78
  6. Step 6: Final answer
    x = 1,825.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.