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Finding the Fourth Proportional to 2,103.38, 3,154.34 and 622.16

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Solution

The fourth proportional to 2,103.38, 3,154.34 and 622.16 is: 933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.38 : 3,154.34 = 622.16 : x
  2. Step 2: Convert to fraction form
    2,103.38/3,154.34 = 622.16/x
  3. Step 3: Cross multiply
    2,103.38x = 3,154.34 × 622.16
  4. Step 4: Simplify right side
    2,103.38x = 1,962,504.17
  5. Step 5: Solve for x
    x = 1,962,504.17/2,103.38
  6. Step 6: Final answer
    x = 933.02

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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.