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Finding the Fourth Proportional to 2,265.71, 3,398.40 and 1,016.69

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Solution

The fourth proportional to 2,265.71, 3,398.40 and 1,016.69 is: 1,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.71 : 3,398.40 = 1,016.69 : x
  2. Step 2: Convert to fraction form
    2,265.71/3,398.40 = 1,016.69/x
  3. Step 3: Cross multiply
    2,265.71x = 3,398.40 × 1,016.69
  4. Step 4: Simplify right side
    2,265.71x = 3,455,119.30
  5. Step 5: Solve for x
    x = 3,455,119.30/2,265.71
  6. Step 6: Final answer
    x = 1,524.96

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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.