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Finding the Fourth Proportional to 2,187, 3,277.44 and 1,087.92

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Solution

The fourth proportional to 2,187, 3,277.44 and 1,087.92 is: 1,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187 : 3,277.44 = 1,087.92 : x
  2. Step 2: Convert to fraction form
    2,187/3,277.44 = 1,087.92/x
  3. Step 3: Cross multiply
    2,187x = 3,277.44 × 1,087.92
  4. Step 4: Simplify right side
    2,187x = 3,565,592.52
  5. Step 5: Solve for x
    x = 3,565,592.52/2,187
  6. Step 6: Final answer
    x = 1,630.36

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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.