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Finding the Fourth Proportional to 3,069.98, 4,601.40 and 1,754.66

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Solution

The fourth proportional to 3,069.98, 4,601.40 and 1,754.66 is: 2,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.98 : 4,601.40 = 1,754.66 : x
  2. Step 2: Convert to fraction form
    3,069.98/4,601.40 = 1,754.66/x
  3. Step 3: Cross multiply
    3,069.98x = 4,601.40 × 1,754.66
  4. Step 4: Simplify right side
    3,069.98x = 8,073,892.52
  5. Step 5: Solve for x
    x = 8,073,892.52/3,069.98
  6. Step 6: Final answer
    x = 2,629.95

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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.