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Finding the Fourth Proportional to 2,786.57, 4,179.04 and 937.47

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Solution

The fourth proportional to 2,786.57, 4,179.04 and 937.47 is: 1,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.57 : 4,179.04 = 937.47 : x
  2. Step 2: Convert to fraction form
    2,786.57/4,179.04 = 937.47/x
  3. Step 3: Cross multiply
    2,786.57x = 4,179.04 × 937.47
  4. Step 4: Simplify right side
    2,786.57x = 3,917,724.63
  5. Step 5: Solve for x
    x = 3,917,724.63/2,786.57
  6. Step 6: Final answer
    x = 1,405.93

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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.