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Finding the Fourth Proportional to 2,135.85, 3,203.29 and 674.74

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Solution

The fourth proportional to 2,135.85, 3,203.29 and 674.74 is: 1,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.85 : 3,203.29 = 674.74 : x
  2. Step 2: Convert to fraction form
    2,135.85/3,203.29 = 674.74/x
  3. Step 3: Cross multiply
    2,135.85x = 3,203.29 × 674.74
  4. Step 4: Simplify right side
    2,135.85x = 2,161,387.89
  5. Step 5: Solve for x
    x = 2,161,387.89/2,135.85
  6. Step 6: Final answer
    x = 1,011.96

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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.