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Finding the Fourth Proportional to 2,956.26, 4,079.81 and 1,697.31

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Solution

The fourth proportional to 2,956.26, 4,079.81 and 1,697.31 is: 2,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.26 : 4,079.81 = 1,697.31 : x
  2. Step 2: Convert to fraction form
    2,956.26/4,079.81 = 1,697.31/x
  3. Step 3: Cross multiply
    2,956.26x = 4,079.81 × 1,697.31
  4. Step 4: Simplify right side
    2,956.26x = 6,924,693.82
  5. Step 5: Solve for x
    x = 6,924,693.82/2,956.26
  6. Step 6: Final answer
    x = 2,342.38

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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.