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Finding the Fourth Proportional to 2,191.56, 3,284.74 and 1,265.21

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Solution

The fourth proportional to 2,191.56, 3,284.74 and 1,265.21 is: 1,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.56 : 3,284.74 = 1,265.21 : x
  2. Step 2: Convert to fraction form
    2,191.56/3,284.74 = 1,265.21/x
  3. Step 3: Cross multiply
    2,191.56x = 3,284.74 × 1,265.21
  4. Step 4: Simplify right side
    2,191.56x = 4,155,869.47
  5. Step 5: Solve for x
    x = 4,155,869.47/2,191.56
  6. Step 6: Final answer
    x = 1,896.31

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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.