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Finding the Fourth Proportional to 2,922.82, 4,384.91 and 842.85

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Solution

The fourth proportional to 2,922.82, 4,384.91 and 842.85 is: 1,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.82 : 4,384.91 = 842.85 : x
  2. Step 2: Convert to fraction form
    2,922.82/4,384.91 = 842.85/x
  3. Step 3: Cross multiply
    2,922.82x = 4,384.91 × 842.85
  4. Step 4: Simplify right side
    2,922.82x = 3,695,828.14
  5. Step 5: Solve for x
    x = 3,695,828.14/2,922.82
  6. Step 6: Final answer
    x = 1,264.47

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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.