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Finding the Fourth Proportional to 3,117.55, 4,298.32 and 1,996.64

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Solution

The fourth proportional to 3,117.55, 4,298.32 and 1,996.64 is: 2,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.55 : 4,298.32 = 1,996.64 : x
  2. Step 2: Convert to fraction form
    3,117.55/4,298.32 = 1,996.64/x
  3. Step 3: Cross multiply
    3,117.55x = 4,298.32 × 1,996.64
  4. Step 4: Simplify right side
    3,117.55x = 8,582,213.38
  5. Step 5: Solve for x
    x = 8,582,213.38/3,117.55
  6. Step 6: Final answer
    x = 2,752.87

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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.