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Finding the Fourth Proportional to 1,674.17, 2,511.30 and 808.28

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Solution

The fourth proportional to 1,674.17, 2,511.30 and 808.28 is: 1,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.17 : 2,511.30 = 808.28 : x
  2. Step 2: Convert to fraction form
    1,674.17/2,511.30 = 808.28/x
  3. Step 3: Cross multiply
    1,674.17x = 2,511.30 × 808.28
  4. Step 4: Simplify right side
    1,674.17x = 2,029,833.56
  5. Step 5: Solve for x
    x = 2,029,833.56/1,674.17
  6. Step 6: Final answer
    x = 1,212.44

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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.