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Finding the Fourth Proportional to 1,674.36, 2,508.26 and 795.61

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Solution

The fourth proportional to 1,674.36, 2,508.26 and 795.61 is: 1,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.36 : 2,508.26 = 795.61 : x
  2. Step 2: Convert to fraction form
    1,674.36/2,508.26 = 795.61/x
  3. Step 3: Cross multiply
    1,674.36x = 2,508.26 × 795.61
  4. Step 4: Simplify right side
    1,674.36x = 1,995,584.20
  5. Step 5: Solve for x
    x = 1,995,584.20/1,674.36
  6. Step 6: Final answer
    x = 1,191.85

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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.