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Finding the Fourth Proportional to 2,081.30, 3,122.55 and 782.87

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Solution

The fourth proportional to 2,081.30, 3,122.55 and 782.87 is: 1,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.30 : 3,122.55 = 782.87 : x
  2. Step 2: Convert to fraction form
    2,081.30/3,122.55 = 782.87/x
  3. Step 3: Cross multiply
    2,081.30x = 3,122.55 × 782.87
  4. Step 4: Simplify right side
    2,081.30x = 2,444,535.11
  5. Step 5: Solve for x
    x = 2,444,535.11/2,081.30
  6. Step 6: Final answer
    x = 1,174.53

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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.