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Finding the Fourth Proportional to 2,123.56, 2,930.21 and 1,239.20

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Solution

The fourth proportional to 2,123.56, 2,930.21 and 1,239.20 is: 1,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.56 : 2,930.21 = 1,239.20 : x
  2. Step 2: Convert to fraction form
    2,123.56/2,930.21 = 1,239.20/x
  3. Step 3: Cross multiply
    2,123.56x = 2,930.21 × 1,239.20
  4. Step 4: Simplify right side
    2,123.56x = 3,631,095.38
  5. Step 5: Solve for x
    x = 3,631,095.38/2,123.56
  6. Step 6: Final answer
    x = 1,709.91

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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.