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Finding the Fourth Proportional to 2,103.61, 3,154.29 and 622.62

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Solution

The fourth proportional to 2,103.61, 3,154.29 and 622.62 is: 933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.61 : 3,154.29 = 622.62 : x
  2. Step 2: Convert to fraction form
    2,103.61/3,154.29 = 622.62/x
  3. Step 3: Cross multiply
    2,103.61x = 3,154.29 × 622.62
  4. Step 4: Simplify right side
    2,103.61x = 1,963,937.04
  5. Step 5: Solve for x
    x = 1,963,937.04/2,103.61
  6. Step 6: Final answer
    x = 933.61

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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.