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Finding the Fourth Proportional to 1,964.52, 2,706.57 and 1,754.73

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Solution

The fourth proportional to 1,964.52, 2,706.57 and 1,754.73 is: 2,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.52 : 2,706.57 = 1,754.73 : x
  2. Step 2: Convert to fraction form
    1,964.52/2,706.57 = 1,754.73/x
  3. Step 3: Cross multiply
    1,964.52x = 2,706.57 × 1,754.73
  4. Step 4: Simplify right side
    1,964.52x = 4,749,299.58
  5. Step 5: Solve for x
    x = 4,749,299.58/1,964.52
  6. Step 6: Final answer
    x = 2,417.54

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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.