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Finding the Fourth Proportional to 1,591.86, 2,197 and 962.44

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Solution

The fourth proportional to 1,591.86, 2,197 and 962.44 is: 1,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.86 : 2,197 = 962.44 : x
  2. Step 2: Convert to fraction form
    1,591.86/2,197 = 962.44/x
  3. Step 3: Cross multiply
    1,591.86x = 2,197 × 962.44
  4. Step 4: Simplify right side
    1,591.86x = 2,114,480.68
  5. Step 5: Solve for x
    x = 2,114,480.68/1,591.86
  6. Step 6: Final answer
    x = 1,328.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.