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Finding the Fourth Proportional to 2,485.24, 3,727.83 and 636.34

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Solution

The fourth proportional to 2,485.24, 3,727.83 and 636.34 is: 954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.24 : 3,727.83 = 636.34 : x
  2. Step 2: Convert to fraction form
    2,485.24/3,727.83 = 636.34/x
  3. Step 3: Cross multiply
    2,485.24x = 3,727.83 × 636.34
  4. Step 4: Simplify right side
    2,485.24x = 2,372,158.02
  5. Step 5: Solve for x
    x = 2,372,158.02/2,485.24
  6. Step 6: Final answer
    x = 954.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.