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Finding the Fourth Proportional to 2,265.34, 3,398.20 and 804.82

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Solution

The fourth proportional to 2,265.34, 3,398.20 and 804.82 is: 1,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.34 : 3,398.20 = 804.82 : x
  2. Step 2: Convert to fraction form
    2,265.34/3,398.20 = 804.82/x
  3. Step 3: Cross multiply
    2,265.34x = 3,398.20 × 804.82
  4. Step 4: Simplify right side
    2,265.34x = 2,734,939.32
  5. Step 5: Solve for x
    x = 2,734,939.32/2,265.34
  6. Step 6: Final answer
    x = 1,207.30

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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.