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Finding the Fourth Proportional to 2,281.77, 3,428.12 and 1,308.56

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Solution

The fourth proportional to 2,281.77, 3,428.12 and 1,308.56 is: 1,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.77 : 3,428.12 = 1,308.56 : x
  2. Step 2: Convert to fraction form
    2,281.77/3,428.12 = 1,308.56/x
  3. Step 3: Cross multiply
    2,281.77x = 3,428.12 × 1,308.56
  4. Step 4: Simplify right side
    2,281.77x = 4,485,886.84
  5. Step 5: Solve for x
    x = 4,485,886.84/2,281.77
  6. Step 6: Final answer
    x = 1,965.97

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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.