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Finding the Fourth Proportional to 2,187.98, 3,282 and 1,220.23

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Solution

The fourth proportional to 2,187.98, 3,282 and 1,220.23 is: 1,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.98 : 3,282 = 1,220.23 : x
  2. Step 2: Convert to fraction form
    2,187.98/3,282 = 1,220.23/x
  3. Step 3: Cross multiply
    2,187.98x = 3,282 × 1,220.23
  4. Step 4: Simplify right side
    2,187.98x = 4,004,794.86
  5. Step 5: Solve for x
    x = 4,004,794.86/2,187.98
  6. Step 6: Final answer
    x = 1,830.36

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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.