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Finding the Fourth Proportional to 1,637.64, 2,456.86 and 663.88

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Solution

The fourth proportional to 1,637.64, 2,456.86 and 663.88 is: 995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.64 : 2,456.86 = 663.88 : x
  2. Step 2: Convert to fraction form
    1,637.64/2,456.86 = 663.88/x
  3. Step 3: Cross multiply
    1,637.64x = 2,456.86 × 663.88
  4. Step 4: Simplify right side
    1,637.64x = 1,631,060.22
  5. Step 5: Solve for x
    x = 1,631,060.22/1,637.64
  6. Step 6: Final answer
    x = 995.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.