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Finding the Fourth Proportional to 2,296.56, 3,441 and 1,950.96

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Solution

The fourth proportional to 2,296.56, 3,441 and 1,950.96 is: 2,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,441 = 1,950.96 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,441 = 1,950.96/x
  3. Step 3: Cross multiply
    2,296.56x = 3,441 × 1,950.96
  4. Step 4: Simplify right side
    2,296.56x = 6,713,253.36
  5. Step 5: Solve for x
    x = 6,713,253.36/2,296.56
  6. Step 6: Final answer
    x = 2,923.18

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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.