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Finding the Fourth Proportional to 1,993.52, 2,986.68 and 1,114.97

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Solution

The fourth proportional to 1,993.52, 2,986.68 and 1,114.97 is: 1,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.52 : 2,986.68 = 1,114.97 : x
  2. Step 2: Convert to fraction form
    1,993.52/2,986.68 = 1,114.97/x
  3. Step 3: Cross multiply
    1,993.52x = 2,986.68 × 1,114.97
  4. Step 4: Simplify right side
    1,993.52x = 3,330,053.02
  5. Step 5: Solve for x
    x = 3,330,053.02/1,993.52
  6. Step 6: Final answer
    x = 1,670.44

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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.