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Finding the Fourth Proportional to 1,637.71, 2,456.56 and 663.81

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Solution

The fourth proportional to 1,637.71, 2,456.56 and 663.81 is: 995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.71 : 2,456.56 = 663.81 : x
  2. Step 2: Convert to fraction form
    1,637.71/2,456.56 = 663.81/x
  3. Step 3: Cross multiply
    1,637.71x = 2,456.56 × 663.81
  4. Step 4: Simplify right side
    1,637.71x = 1,630,681.29
  5. Step 5: Solve for x
    x = 1,630,681.29/1,637.71
  6. Step 6: Final answer
    x = 995.71

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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.