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Finding the Fourth Proportional to 2,844.63, 4,266.94 and 792.63

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Solution

The fourth proportional to 2,844.63, 4,266.94 and 792.63 is: 1,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.63 : 4,266.94 = 792.63 : x
  2. Step 2: Convert to fraction form
    2,844.63/4,266.94 = 792.63/x
  3. Step 3: Cross multiply
    2,844.63x = 4,266.94 × 792.63
  4. Step 4: Simplify right side
    2,844.63x = 3,382,083.32
  5. Step 5: Solve for x
    x = 3,382,083.32/2,844.63
  6. Step 6: Final answer
    x = 1,188.94

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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.