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Finding the Fourth Proportional to 1,761.96, 2,643.68 and 838.16

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Solution

The fourth proportional to 1,761.96, 2,643.68 and 838.16 is: 1,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.96 : 2,643.68 = 838.16 : x
  2. Step 2: Convert to fraction form
    1,761.96/2,643.68 = 838.16/x
  3. Step 3: Cross multiply
    1,761.96x = 2,643.68 × 838.16
  4. Step 4: Simplify right side
    1,761.96x = 2,215,826.83
  5. Step 5: Solve for x
    x = 2,215,826.83/1,761.96
  6. Step 6: Final answer
    x = 1,257.59

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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.