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Finding the Fourth Proportional to 2,844.25, 4,263.67 and 994.16

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Solution

The fourth proportional to 2,844.25, 4,263.67 and 994.16 is: 1,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.25 : 4,263.67 = 994.16 : x
  2. Step 2: Convert to fraction form
    2,844.25/4,263.67 = 994.16/x
  3. Step 3: Cross multiply
    2,844.25x = 4,263.67 × 994.16
  4. Step 4: Simplify right side
    2,844.25x = 4,238,758.09
  5. Step 5: Solve for x
    x = 4,238,758.09/2,844.25
  6. Step 6: Final answer
    x = 1,490.29

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1.5x scale

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.