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Finding the Fourth Proportional to 2,103.99, 2,904.03 and 1,220.37

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Solution

The fourth proportional to 2,103.99, 2,904.03 and 1,220.37 is: 1,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.99 : 2,904.03 = 1,220.37 : x
  2. Step 2: Convert to fraction form
    2,103.99/2,904.03 = 1,220.37/x
  3. Step 3: Cross multiply
    2,103.99x = 2,904.03 × 1,220.37
  4. Step 4: Simplify right side
    2,103.99x = 3,543,991.09
  5. Step 5: Solve for x
    x = 3,543,991.09/2,103.99
  6. Step 6: Final answer
    x = 1,684.41

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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.