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Finding the Fourth Proportional to 1,980.50, 2,951.37 and 1,863.65

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Solution

The fourth proportional to 1,980.50, 2,951.37 and 1,863.65 is: 2,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.50 : 2,951.37 = 1,863.65 : x
  2. Step 2: Convert to fraction form
    1,980.50/2,951.37 = 1,863.65/x
  3. Step 3: Cross multiply
    1,980.50x = 2,951.37 × 1,863.65
  4. Step 4: Simplify right side
    1,980.50x = 5,500,328.08
  5. Step 5: Solve for x
    x = 5,500,328.08/1,980.50
  6. Step 6: Final answer
    x = 2,777.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.