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Finding the Fourth Proportional to 2,990.70, 4,123.29 and 2,203.38

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Solution

The fourth proportional to 2,990.70, 4,123.29 and 2,203.38 is: 3,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.70 : 4,123.29 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    2,990.70/4,123.29 = 2,203.38/x
  3. Step 3: Cross multiply
    2,990.70x = 4,123.29 × 2,203.38
  4. Step 4: Simplify right side
    2,990.70x = 9,085,174.72
  5. Step 5: Solve for x
    x = 9,085,174.72/2,990.70
  6. Step 6: Final answer
    x = 3,037.81

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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.