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Finding the Fourth Proportional to 2,815.06, 4,223.40 and 2,086.06

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Solution

The fourth proportional to 2,815.06, 4,223.40 and 2,086.06 is: 3,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.06 : 4,223.40 = 2,086.06 : x
  2. Step 2: Convert to fraction form
    2,815.06/4,223.40 = 2,086.06/x
  3. Step 3: Cross multiply
    2,815.06x = 4,223.40 × 2,086.06
  4. Step 4: Simplify right side
    2,815.06x = 8,810,265.80
  5. Step 5: Solve for x
    x = 8,810,265.80/2,815.06
  6. Step 6: Final answer
    x = 3,129.69

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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.