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Finding the Fourth Proportional to 2,081.30, 3,123.30 and 1,203.80

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Solution

The fourth proportional to 2,081.30, 3,123.30 and 1,203.80 is: 1,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.30 : 3,123.30 = 1,203.80 : x
  2. Step 2: Convert to fraction form
    2,081.30/3,123.30 = 1,203.80/x
  3. Step 3: Cross multiply
    2,081.30x = 3,123.30 × 1,203.80
  4. Step 4: Simplify right side
    2,081.30x = 3,759,828.54
  5. Step 5: Solve for x
    x = 3,759,828.54/2,081.30
  6. Step 6: Final answer
    x = 1,806.48

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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.