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Finding the Fourth Proportional to 2,103.80, 2,904.22 and 1,219.43

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Solution

The fourth proportional to 2,103.80, 2,904.22 and 1,219.43 is: 1,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 2,904.22 = 1,219.43 : x
  2. Step 2: Convert to fraction form
    2,103.80/2,904.22 = 1,219.43/x
  3. Step 3: Cross multiply
    2,103.80x = 2,904.22 × 1,219.43
  4. Step 4: Simplify right side
    2,103.80x = 3,541,501.78
  5. Step 5: Solve for x
    x = 3,541,501.78/2,103.80
  6. Step 6: Final answer
    x = 1,683.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.