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Finding the Fourth Proportional to 2,187.53, 3,282.18 and 1,605.49

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Solution

The fourth proportional to 2,187.53, 3,282.18 and 1,605.49 is: 2,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.53 : 3,282.18 = 1,605.49 : x
  2. Step 2: Convert to fraction form
    2,187.53/3,282.18 = 1,605.49/x
  3. Step 3: Cross multiply
    2,187.53x = 3,282.18 × 1,605.49
  4. Step 4: Simplify right side
    2,187.53x = 5,269,490.76
  5. Step 5: Solve for x
    x = 5,269,490.76/2,187.53
  6. Step 6: Final answer
    x = 2,408.88

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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.