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Finding the Fourth Proportional to 2,710.26, 4,059.07 and 2,297.94

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Solution

The fourth proportional to 2,710.26, 4,059.07 and 2,297.94 is: 3,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.26 : 4,059.07 = 2,297.94 : x
  2. Step 2: Convert to fraction form
    2,710.26/4,059.07 = 2,297.94/x
  3. Step 3: Cross multiply
    2,710.26x = 4,059.07 × 2,297.94
  4. Step 4: Simplify right side
    2,710.26x = 9,327,499.32
  5. Step 5: Solve for x
    x = 9,327,499.32/2,710.26
  6. Step 6: Final answer
    x = 3,441.55

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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.