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Finding the Fourth Proportional to 2,357.50, 3,536.25 and 1,331.58

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Solution

The fourth proportional to 2,357.50, 3,536.25 and 1,331.58 is: 1,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.50 : 3,536.25 = 1,331.58 : x
  2. Step 2: Convert to fraction form
    2,357.50/3,536.25 = 1,331.58/x
  3. Step 3: Cross multiply
    2,357.50x = 3,536.25 × 1,331.58
  4. Step 4: Simplify right side
    2,357.50x = 4,708,799.78
  5. Step 5: Solve for x
    x = 4,708,799.78/2,357.50
  6. Step 6: Final answer
    x = 1,997.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.