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Finding the Fourth Proportional to 2,124, 2,930.40 and 1,337.44

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Solution

The fourth proportional to 2,124, 2,930.40 and 1,337.44 is: 1,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124 : 2,930.40 = 1,337.44 : x
  2. Step 2: Convert to fraction form
    2,124/2,930.40 = 1,337.44/x
  3. Step 3: Cross multiply
    2,124x = 2,930.40 × 1,337.44
  4. Step 4: Simplify right side
    2,124x = 3,919,234.18
  5. Step 5: Solve for x
    x = 3,919,234.18/2,124
  6. Step 6: Final answer
    x = 1,845.21

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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.