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Finding the Fourth Proportional to 2,351.70, 3,245.26 and 1,357.02

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Solution

The fourth proportional to 2,351.70, 3,245.26 and 1,357.02 is: 1,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.70 : 3,245.26 = 1,357.02 : x
  2. Step 2: Convert to fraction form
    2,351.70/3,245.26 = 1,357.02/x
  3. Step 3: Cross multiply
    2,351.70x = 3,245.26 × 1,357.02
  4. Step 4: Simplify right side
    2,351.70x = 4,403,882.73
  5. Step 5: Solve for x
    x = 4,403,882.73/2,351.70
  6. Step 6: Final answer
    x = 1,872.64

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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.