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Finding the Fourth Proportional to 2,964.75, 4,092.14 and 1,705.95

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Solution

The fourth proportional to 2,964.75, 4,092.14 and 1,705.95 is: 2,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.75 : 4,092.14 = 1,705.95 : x
  2. Step 2: Convert to fraction form
    2,964.75/4,092.14 = 1,705.95/x
  3. Step 3: Cross multiply
    2,964.75x = 4,092.14 × 1,705.95
  4. Step 4: Simplify right side
    2,964.75x = 6,980,977.70
  5. Step 5: Solve for x
    x = 6,980,977.70/2,964.75
  6. Step 6: Final answer
    x = 2,354.66

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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.