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Finding the Fourth Proportional to 2,195.82, 3,293.77 and 962.98

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Solution

The fourth proportional to 2,195.82, 3,293.77 and 962.98 is: 1,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.82 : 3,293.77 = 962.98 : x
  2. Step 2: Convert to fraction form
    2,195.82/3,293.77 = 962.98/x
  3. Step 3: Cross multiply
    2,195.82x = 3,293.77 × 962.98
  4. Step 4: Simplify right side
    2,195.82x = 3,171,834.63
  5. Step 5: Solve for x
    x = 3,171,834.63/2,195.82
  6. Step 6: Final answer
    x = 1,444.49

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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.