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Finding the Fourth Proportional to 2,265.81, 3,399.02 and 967.59

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Solution

The fourth proportional to 2,265.81, 3,399.02 and 967.59 is: 1,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.81 : 3,399.02 = 967.59 : x
  2. Step 2: Convert to fraction form
    2,265.81/3,399.02 = 967.59/x
  3. Step 3: Cross multiply
    2,265.81x = 3,399.02 × 967.59
  4. Step 4: Simplify right side
    2,265.81x = 3,288,857.76
  5. Step 5: Solve for x
    x = 3,288,857.76/2,265.81
  6. Step 6: Final answer
    x = 1,451.52

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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.