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Finding the Fourth Proportional to 2,611.96, 3,918.62 and 968.98

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Solution

The fourth proportional to 2,611.96, 3,918.62 and 968.98 is: 1,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.96 : 3,918.62 = 968.98 : x
  2. Step 2: Convert to fraction form
    2,611.96/3,918.62 = 968.98/x
  3. Step 3: Cross multiply
    2,611.96x = 3,918.62 × 968.98
  4. Step 4: Simplify right side
    2,611.96x = 3,797,049.77
  5. Step 5: Solve for x
    x = 3,797,049.77/2,611.96
  6. Step 6: Final answer
    x = 1,453.72

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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.