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Finding the Fourth Proportional to 2,228.64, 3,338.64 and 1,075.20

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Solution

The fourth proportional to 2,228.64, 3,338.64 and 1,075.20 is: 1,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.64 : 3,338.64 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    2,228.64/3,338.64 = 1,075.20/x
  3. Step 3: Cross multiply
    2,228.64x = 3,338.64 × 1,075.20
  4. Step 4: Simplify right side
    2,228.64x = 3,589,705.73
  5. Step 5: Solve for x
    x = 3,589,705.73/2,228.64
  6. Step 6: Final answer
    x = 1,610.72

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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.