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Finding the Fourth Proportional to 2,190.60, 3,284.28 and 1,035

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Solution

The fourth proportional to 2,190.60, 3,284.28 and 1,035 is: 1,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.60 : 3,284.28 = 1,035 : x
  2. Step 2: Convert to fraction form
    2,190.60/3,284.28 = 1,035/x
  3. Step 3: Cross multiply
    2,190.60x = 3,284.28 × 1,035
  4. Step 4: Simplify right side
    2,190.60x = 3,399,229.80
  5. Step 5: Solve for x
    x = 3,399,229.80/2,190.60
  6. Step 6: Final answer
    x = 1,551.73

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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.