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Finding the Fourth Proportional to 2,135.74, 3,203.96 and 675.24

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Solution

The fourth proportional to 2,135.74, 3,203.96 and 675.24 is: 1,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.74 : 3,203.96 = 675.24 : x
  2. Step 2: Convert to fraction form
    2,135.74/3,203.96 = 675.24/x
  3. Step 3: Cross multiply
    2,135.74x = 3,203.96 × 675.24
  4. Step 4: Simplify right side
    2,135.74x = 2,163,426.56
  5. Step 5: Solve for x
    x = 2,163,426.56/2,135.74
  6. Step 6: Final answer
    x = 1,012.96

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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.