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Finding the Fourth Proportional to 1,663.50, 2,493.06 and 1,202.82

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Solution

The fourth proportional to 1,663.50, 2,493.06 and 1,202.82 is: 1,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.50 : 2,493.06 = 1,202.82 : x
  2. Step 2: Convert to fraction form
    1,663.50/2,493.06 = 1,202.82/x
  3. Step 3: Cross multiply
    1,663.50x = 2,493.06 × 1,202.82
  4. Step 4: Simplify right side
    1,663.50x = 2,998,702.43
  5. Step 5: Solve for x
    x = 2,998,702.43/1,663.50
  6. Step 6: Final answer
    x = 1,802.65

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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.