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Finding the Fourth Proportional to 2,485.64, 3,728.99 and 754.40

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Solution

The fourth proportional to 2,485.64, 3,728.99 and 754.40 is: 1,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.64 : 3,728.99 = 754.40 : x
  2. Step 2: Convert to fraction form
    2,485.64/3,728.99 = 754.40/x
  3. Step 3: Cross multiply
    2,485.64x = 3,728.99 × 754.40
  4. Step 4: Simplify right side
    2,485.64x = 2,813,133.30
  5. Step 5: Solve for x
    x = 2,813,133.30/2,485.64
  6. Step 6: Final answer
    x = 1,131.76

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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.