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Finding the Fourth Proportional to 3,166.54, 4,743.62 and 1,930.88

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Solution

The fourth proportional to 3,166.54, 4,743.62 and 1,930.88 is: 2,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.54 : 4,743.62 = 1,930.88 : x
  2. Step 2: Convert to fraction form
    3,166.54/4,743.62 = 1,930.88/x
  3. Step 3: Cross multiply
    3,166.54x = 4,743.62 × 1,930.88
  4. Step 4: Simplify right side
    3,166.54x = 9,159,360.99
  5. Step 5: Solve for x
    x = 9,159,360.99/3,166.54
  6. Step 6: Final answer
    x = 2,892.55

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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.