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Finding the Fourth Proportional to 2,674.50, 3,691.29 and 1,612.46

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Solution

The fourth proportional to 2,674.50, 3,691.29 and 1,612.46 is: 2,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.50 : 3,691.29 = 1,612.46 : x
  2. Step 2: Convert to fraction form
    2,674.50/3,691.29 = 1,612.46/x
  3. Step 3: Cross multiply
    2,674.50x = 3,691.29 × 1,612.46
  4. Step 4: Simplify right side
    2,674.50x = 5,952,057.47
  5. Step 5: Solve for x
    x = 5,952,057.47/2,674.50
  6. Step 6: Final answer
    x = 2,225.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.