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Finding the Fourth Proportional to 2,265.65, 3,398.51 and 622.18

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Solution

The fourth proportional to 2,265.65, 3,398.51 and 622.18 is: 933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.65 : 3,398.51 = 622.18 : x
  2. Step 2: Convert to fraction form
    2,265.65/3,398.51 = 622.18/x
  3. Step 3: Cross multiply
    2,265.65x = 3,398.51 × 622.18
  4. Step 4: Simplify right side
    2,265.65x = 2,114,500.31
  5. Step 5: Solve for x
    x = 2,114,500.31/2,265.65
  6. Step 6: Final answer
    x = 933.29

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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.