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Finding the Fourth Proportional to 1,843.88, 2,762.94 and 1,158.44

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Solution

The fourth proportional to 1,843.88, 2,762.94 and 1,158.44 is: 1,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.88 : 2,762.94 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    1,843.88/2,762.94 = 1,158.44/x
  3. Step 3: Cross multiply
    1,843.88x = 2,762.94 × 1,158.44
  4. Step 4: Simplify right side
    1,843.88x = 3,200,687.51
  5. Step 5: Solve for x
    x = 3,200,687.51/1,843.88
  6. Step 6: Final answer
    x = 1,735.85

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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.