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Finding the Fourth Proportional to 3,197, 4,411.86 and 1,955

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Solution

The fourth proportional to 3,197, 4,411.86 and 1,955 is: 2,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 4,411.86 = 1,955 : x
  2. Step 2: Convert to fraction form
    3,197/4,411.86 = 1,955/x
  3. Step 3: Cross multiply
    3,197x = 4,411.86 × 1,955
  4. Step 4: Simplify right side
    3,197x = 8,625,186.30
  5. Step 5: Solve for x
    x = 8,625,186.30/3,197
  6. Step 6: Final answer
    x = 2,697.90

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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.