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Finding the Fourth Proportional to 2,135.22, 3,203.15 and 674.35

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Solution

The fourth proportional to 2,135.22, 3,203.15 and 674.35 is: 1,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.22 : 3,203.15 = 674.35 : x
  2. Step 2: Convert to fraction form
    2,135.22/3,203.15 = 674.35/x
  3. Step 3: Cross multiply
    2,135.22x = 3,203.15 × 674.35
  4. Step 4: Simplify right side
    2,135.22x = 2,160,032.82
  5. Step 5: Solve for x
    x = 2,160,032.82/2,135.22
  6. Step 6: Final answer
    x = 1,011.62

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