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Finding the Fourth Proportional to 2,311.80, 3,181.18 and 2,091

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Solution

The fourth proportional to 2,311.80, 3,181.18 and 2,091 is: 2,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.80 : 3,181.18 = 2,091 : x
  2. Step 2: Convert to fraction form
    2,311.80/3,181.18 = 2,091/x
  3. Step 3: Cross multiply
    2,311.80x = 3,181.18 × 2,091
  4. Step 4: Simplify right side
    2,311.80x = 6,651,847.38
  5. Step 5: Solve for x
    x = 6,651,847.38/2,311.80
  6. Step 6: Final answer
    x = 2,877.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.