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Finding the Fourth Proportional to 2,265.65, 3,398.54 and 622.22

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Solution

The fourth proportional to 2,265.65, 3,398.54 and 622.22 is: 933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.65 : 3,398.54 = 622.22 : x
  2. Step 2: Convert to fraction form
    2,265.65/3,398.54 = 622.22/x
  3. Step 3: Cross multiply
    2,265.65x = 3,398.54 × 622.22
  4. Step 4: Simplify right side
    2,265.65x = 2,114,619.46
  5. Step 5: Solve for x
    x = 2,114,619.46/2,265.65
  6. Step 6: Final answer
    x = 933.34

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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.