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Finding the Fourth Proportional to 2,260.44, 3,390.98 and 1,028.16

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Solution

The fourth proportional to 2,260.44, 3,390.98 and 1,028.16 is: 1,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.44 : 3,390.98 = 1,028.16 : x
  2. Step 2: Convert to fraction form
    2,260.44/3,390.98 = 1,028.16/x
  3. Step 3: Cross multiply
    2,260.44x = 3,390.98 × 1,028.16
  4. Step 4: Simplify right side
    2,260.44x = 3,486,464.86
  5. Step 5: Solve for x
    x = 3,486,464.86/2,260.44
  6. Step 6: Final answer
    x = 1,542.38

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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.