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Finding the Fourth Proportional to 2,930.85, 4,398.50 and 1,083.71

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Solution

The fourth proportional to 2,930.85, 4,398.50 and 1,083.71 is: 1,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.85 : 4,398.50 = 1,083.71 : x
  2. Step 2: Convert to fraction form
    2,930.85/4,398.50 = 1,083.71/x
  3. Step 3: Cross multiply
    2,930.85x = 4,398.50 × 1,083.71
  4. Step 4: Simplify right side
    2,930.85x = 4,766,712.14
  5. Step 5: Solve for x
    x = 4,766,712.14/2,930.85
  6. Step 6: Final answer
    x = 1,626.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.