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Finding the Fourth Proportional to 2,123.70, 3,201.32 and 1,979.70

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Solution

The fourth proportional to 2,123.70, 3,201.32 and 1,979.70 is: 2,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.70 : 3,201.32 = 1,979.70 : x
  2. Step 2: Convert to fraction form
    2,123.70/3,201.32 = 1,979.70/x
  3. Step 3: Cross multiply
    2,123.70x = 3,201.32 × 1,979.70
  4. Step 4: Simplify right side
    2,123.70x = 6,337,643.31
  5. Step 5: Solve for x
    x = 6,337,643.31/2,123.70
  6. Step 6: Final answer
    x = 2,984.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.