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Finding the Fourth Proportional to 1,663.42, 2,496.67 and 842.27

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Solution

The fourth proportional to 1,663.42, 2,496.67 and 842.27 is: 1,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.42 : 2,496.67 = 842.27 : x
  2. Step 2: Convert to fraction form
    1,663.42/2,496.67 = 842.27/x
  3. Step 3: Cross multiply
    1,663.42x = 2,496.67 × 842.27
  4. Step 4: Simplify right side
    1,663.42x = 2,102,869.70
  5. Step 5: Solve for x
    x = 2,102,869.70/1,663.42
  6. Step 6: Final answer
    x = 1,264.18

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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.