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Finding the Fourth Proportional to 2,188.56, 3,019.24 and 1,441.56

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Solution

The fourth proportional to 2,188.56, 3,019.24 and 1,441.56 is: 1,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.56 : 3,019.24 = 1,441.56 : x
  2. Step 2: Convert to fraction form
    2,188.56/3,019.24 = 1,441.56/x
  3. Step 3: Cross multiply
    2,188.56x = 3,019.24 × 1,441.56
  4. Step 4: Simplify right side
    2,188.56x = 4,352,415.61
  5. Step 5: Solve for x
    x = 4,352,415.61/2,188.56
  6. Step 6: Final answer
    x = 1,988.71

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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.