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Finding the Fourth Proportional to 1,992.47, 2,750.84 and 1,284.56

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Solution

The fourth proportional to 1,992.47, 2,750.84 and 1,284.56 is: 1,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.47 : 2,750.84 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    1,992.47/2,750.84 = 1,284.56/x
  3. Step 3: Cross multiply
    1,992.47x = 2,750.84 × 1,284.56
  4. Step 4: Simplify right side
    1,992.47x = 3,533,619.03
  5. Step 5: Solve for x
    x = 3,533,619.03/1,992.47
  6. Step 6: Final answer
    x = 1,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.