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Finding the Fourth Proportional to 1,637.17, 2,456.03 and 663.94

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Solution

The fourth proportional to 1,637.17, 2,456.03 and 663.94 is: 996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.17 : 2,456.03 = 663.94 : x
  2. Step 2: Convert to fraction form
    1,637.17/2,456.03 = 663.94/x
  3. Step 3: Cross multiply
    1,637.17x = 2,456.03 × 663.94
  4. Step 4: Simplify right side
    1,637.17x = 1,630,653.24
  5. Step 5: Solve for x
    x = 1,630,653.24/1,637.17
  6. Step 6: Final answer
    x = 996.02

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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.