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Finding the Fourth Proportional to 2,296.88, 3,428.65 and 2,020.12

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Solution

The fourth proportional to 2,296.88, 3,428.65 and 2,020.12 is: 3,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.88 : 3,428.65 = 2,020.12 : x
  2. Step 2: Convert to fraction form
    2,296.88/3,428.65 = 2,020.12/x
  3. Step 3: Cross multiply
    2,296.88x = 3,428.65 × 2,020.12
  4. Step 4: Simplify right side
    2,296.88x = 6,926,284.44
  5. Step 5: Solve for x
    x = 6,926,284.44/2,296.88
  6. Step 6: Final answer
    x = 3,015.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.