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Finding the Fourth Proportional to 1,674.14, 2,511.57 and 634.13

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Solution

The fourth proportional to 1,674.14, 2,511.57 and 634.13 is: 951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.14 : 2,511.57 = 634.13 : x
  2. Step 2: Convert to fraction form
    1,674.14/2,511.57 = 634.13/x
  3. Step 3: Cross multiply
    1,674.14x = 2,511.57 × 634.13
  4. Step 4: Simplify right side
    1,674.14x = 1,592,661.12
  5. Step 5: Solve for x
    x = 1,592,661.12/1,674.14
  6. Step 6: Final answer
    x = 951.33

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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.