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Finding the Fourth Proportional to 2,351.43, 3,524.04 and 2,103.17

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Solution

The fourth proportional to 2,351.43, 3,524.04 and 2,103.17 is: 3,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.43 : 3,524.04 = 2,103.17 : x
  2. Step 2: Convert to fraction form
    2,351.43/3,524.04 = 2,103.17/x
  3. Step 3: Cross multiply
    2,351.43x = 3,524.04 × 2,103.17
  4. Step 4: Simplify right side
    2,351.43x = 7,411,637.59
  5. Step 5: Solve for x
    x = 7,411,637.59/2,351.43
  6. Step 6: Final answer
    x = 3,151.97

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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.