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Finding the Fourth Proportional to 2,813.56, 4,202.80 and 2,084.56

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Solution

The fourth proportional to 2,813.56, 4,202.80 and 2,084.56 is: 3,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.56 : 4,202.80 = 2,084.56 : x
  2. Step 2: Convert to fraction form
    2,813.56/4,202.80 = 2,084.56/x
  3. Step 3: Cross multiply
    2,813.56x = 4,202.80 × 2,084.56
  4. Step 4: Simplify right side
    2,813.56x = 8,760,978.35
  5. Step 5: Solve for x
    x = 8,760,978.35/2,813.56
  6. Step 6: Final answer
    x = 3,113.84

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1.5x scale

Why These Related Problems?

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