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Finding the Fourth Proportional to 2,123.64, 3,179.70 and 1,993.80

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Solution

The fourth proportional to 2,123.64, 3,179.70 and 1,993.80 is: 2,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.64 : 3,179.70 = 1,993.80 : x
  2. Step 2: Convert to fraction form
    2,123.64/3,179.70 = 1,993.80/x
  3. Step 3: Cross multiply
    2,123.64x = 3,179.70 × 1,993.80
  4. Step 4: Simplify right side
    2,123.64x = 6,339,685.86
  5. Step 5: Solve for x
    x = 6,339,685.86/2,123.64
  6. Step 6: Final answer
    x = 2,985.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.