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Finding the Fourth Proportional to 1,663.92, 2,496.21 and 493.94

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Solution

The fourth proportional to 1,663.92, 2,496.21 and 493.94 is: 741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.92 : 2,496.21 = 493.94 : x
  2. Step 2: Convert to fraction form
    1,663.92/2,496.21 = 493.94/x
  3. Step 3: Cross multiply
    1,663.92x = 2,496.21 × 493.94
  4. Step 4: Simplify right side
    1,663.92x = 1,232,977.97
  5. Step 5: Solve for x
    x = 1,232,977.97/1,663.92
  6. Step 6: Final answer
    x = 741.01

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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.