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Finding the Fourth Proportional to 3,637.96, 5,456.96 and 1,663.18

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Solution

The fourth proportional to 3,637.96, 5,456.96 and 1,663.18 is: 2,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.96 : 5,456.96 = 1,663.18 : x
  2. Step 2: Convert to fraction form
    3,637.96/5,456.96 = 1,663.18/x
  3. Step 3: Cross multiply
    3,637.96x = 5,456.96 × 1,663.18
  4. Step 4: Simplify right side
    3,637.96x = 9,075,906.73
  5. Step 5: Solve for x
    x = 9,075,906.73/3,637.96
  6. Step 6: Final answer
    x = 2,494.78

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1.5x scale

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.