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Finding the Fourth Proportional to 1,993.95, 2,984.74 and 1,698.70

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Solution

The fourth proportional to 1,993.95, 2,984.74 and 1,698.70 is: 2,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.95 : 2,984.74 = 1,698.70 : x
  2. Step 2: Convert to fraction form
    1,993.95/2,984.74 = 1,698.70/x
  3. Step 3: Cross multiply
    1,993.95x = 2,984.74 × 1,698.70
  4. Step 4: Simplify right side
    1,993.95x = 5,070,177.84
  5. Step 5: Solve for x
    x = 5,070,177.84/1,993.95
  6. Step 6: Final answer
    x = 2,542.78

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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.