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Finding the Fourth Proportional to 2,265.82, 3,399.23 and 684.47

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Solution

The fourth proportional to 2,265.82, 3,399.23 and 684.47 is: 1,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.82 : 3,399.23 = 684.47 : x
  2. Step 2: Convert to fraction form
    2,265.82/3,399.23 = 684.47/x
  3. Step 3: Cross multiply
    2,265.82x = 3,399.23 × 684.47
  4. Step 4: Simplify right side
    2,265.82x = 2,326,670.96
  5. Step 5: Solve for x
    x = 2,326,670.96/2,265.82
  6. Step 6: Final answer
    x = 1,026.86

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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.