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Finding the Fourth Proportional to 2,485.84, 3,410.86 and 2,462.62

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Solution

The fourth proportional to 2,485.84, 3,410.86 and 2,462.62 is: 3,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.84 : 3,410.86 = 2,462.62 : x
  2. Step 2: Convert to fraction form
    2,485.84/3,410.86 = 2,462.62/x
  3. Step 3: Cross multiply
    2,485.84x = 3,410.86 × 2,462.62
  4. Step 4: Simplify right side
    2,485.84x = 8,399,652.05
  5. Step 5: Solve for x
    x = 8,399,652.05/2,485.84
  6. Step 6: Final answer
    x = 3,379.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.