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Finding the Fourth Proportional to 2,455.96, 3,685.38 and 1,761.88

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Solution

The fourth proportional to 2,455.96, 3,685.38 and 1,761.88 is: 2,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.96 : 3,685.38 = 1,761.88 : x
  2. Step 2: Convert to fraction form
    2,455.96/3,685.38 = 1,761.88/x
  3. Step 3: Cross multiply
    2,455.96x = 3,685.38 × 1,761.88
  4. Step 4: Simplify right side
    2,455.96x = 6,493,197.31
  5. Step 5: Solve for x
    x = 6,493,197.31/2,455.96
  6. Step 6: Final answer
    x = 2,643.85

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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.