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Finding the Fourth Proportional to 2,964.90, 4,092.87 and 1,770.30

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Solution

The fourth proportional to 2,964.90, 4,092.87 and 1,770.30 is: 2,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.90 : 4,092.87 = 1,770.30 : x
  2. Step 2: Convert to fraction form
    2,964.90/4,092.87 = 1,770.30/x
  3. Step 3: Cross multiply
    2,964.90x = 4,092.87 × 1,770.30
  4. Step 4: Simplify right side
    2,964.90x = 7,245,607.76
  5. Step 5: Solve for x
    x = 7,245,607.76/2,964.90
  6. Step 6: Final answer
    x = 2,443.79

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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.