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Finding the Fourth Proportional to 2,265.92, 3,398.99 and 805.19

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Solution

The fourth proportional to 2,265.92, 3,398.99 and 805.19 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.92 : 3,398.99 = 805.19 : x
  2. Step 2: Convert to fraction form
    2,265.92/3,398.99 = 805.19/x
  3. Step 3: Cross multiply
    2,265.92x = 3,398.99 × 805.19
  4. Step 4: Simplify right side
    2,265.92x = 2,736,811.74
  5. Step 5: Solve for x
    x = 2,736,811.74/2,265.92
  6. Step 6: Final answer
    x = 1,207.82

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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.