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Finding the Fourth Proportional to 3,017.96, 4,164.52 and 1,691.38

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Solution

The fourth proportional to 3,017.96, 4,164.52 and 1,691.38 is: 2,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.96 : 4,164.52 = 1,691.38 : x
  2. Step 2: Convert to fraction form
    3,017.96/4,164.52 = 1,691.38/x
  3. Step 3: Cross multiply
    3,017.96x = 4,164.52 × 1,691.38
  4. Step 4: Simplify right side
    3,017.96x = 7,043,785.84
  5. Step 5: Solve for x
    x = 7,043,785.84/3,017.96
  6. Step 6: Final answer
    x = 2,333.96

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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.