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Finding the Fourth Proportional to 2,635.21, 3,952 and 992.53

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Solution

The fourth proportional to 2,635.21, 3,952 and 992.53 is: 1,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.21 : 3,952 = 992.53 : x
  2. Step 2: Convert to fraction form
    2,635.21/3,952 = 992.53/x
  3. Step 3: Cross multiply
    2,635.21x = 3,952 × 992.53
  4. Step 4: Simplify right side
    2,635.21x = 3,922,478.56
  5. Step 5: Solve for x
    x = 3,922,478.56/2,635.21
  6. Step 6: Final answer
    x = 1,488.49

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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.