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Finding the Fourth Proportional to 2,485.12, 3,728.09 and 841.77

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Solution

The fourth proportional to 2,485.12, 3,728.09 and 841.77 is: 1,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.12 : 3,728.09 = 841.77 : x
  2. Step 2: Convert to fraction form
    2,485.12/3,728.09 = 841.77/x
  3. Step 3: Cross multiply
    2,485.12x = 3,728.09 × 841.77
  4. Step 4: Simplify right side
    2,485.12x = 3,138,194.32
  5. Step 5: Solve for x
    x = 3,138,194.32/2,485.12
  6. Step 6: Final answer
    x = 1,262.79

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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.