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Finding the Fourth Proportional to 1,797.94, 2,682.47 and 1,600.60

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Solution

The fourth proportional to 1,797.94, 2,682.47 and 1,600.60 is: 2,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.94 : 2,682.47 = 1,600.60 : x
  2. Step 2: Convert to fraction form
    1,797.94/2,682.47 = 1,600.60/x
  3. Step 3: Cross multiply
    1,797.94x = 2,682.47 × 1,600.60
  4. Step 4: Simplify right side
    1,797.94x = 4,293,561.48
  5. Step 5: Solve for x
    x = 4,293,561.48/1,797.94
  6. Step 6: Final answer
    x = 2,388.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.