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Finding the Fourth Proportional to 2,228.58, 3,342.80 and 1,059.43

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Solution

The fourth proportional to 2,228.58, 3,342.80 and 1,059.43 is: 1,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.58 : 3,342.80 = 1,059.43 : x
  2. Step 2: Convert to fraction form
    2,228.58/3,342.80 = 1,059.43/x
  3. Step 3: Cross multiply
    2,228.58x = 3,342.80 × 1,059.43
  4. Step 4: Simplify right side
    2,228.58x = 3,541,462.60
  5. Step 5: Solve for x
    x = 3,541,462.60/2,228.58
  6. Step 6: Final answer
    x = 1,589.11

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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.