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Finding the Fourth Proportional to 2,293.46, 3,441.54 and 2,107.52

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Solution

The fourth proportional to 2,293.46, 3,441.54 and 2,107.52 is: 3,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.46 : 3,441.54 = 2,107.52 : x
  2. Step 2: Convert to fraction form
    2,293.46/3,441.54 = 2,107.52/x
  3. Step 3: Cross multiply
    2,293.46x = 3,441.54 × 2,107.52
  4. Step 4: Simplify right side
    2,293.46x = 7,253,114.38
  5. Step 5: Solve for x
    x = 7,253,114.38/2,293.46
  6. Step 6: Final answer
    x = 3,162.52

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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.