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Finding the Fourth Proportional to 2,081.37, 3,122.51 and 782.84

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Solution

The fourth proportional to 2,081.37, 3,122.51 and 782.84 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.37 : 3,122.51 = 782.84 : x
  2. Step 2: Convert to fraction form
    2,081.37/3,122.51 = 782.84/x
  3. Step 3: Cross multiply
    2,081.37x = 3,122.51 × 782.84
  4. Step 4: Simplify right side
    2,081.37x = 2,444,429.62
  5. Step 5: Solve for x
    x = 2,444,429.62/2,081.37
  6. Step 6: Final answer
    x = 1,174.43

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1.5x scale

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.