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Finding the Fourth Proportional to 2,140.70, 3,211.11 and 580.95

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Solution

The fourth proportional to 2,140.70, 3,211.11 and 580.95 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.70 : 3,211.11 = 580.95 : x
  2. Step 2: Convert to fraction form
    2,140.70/3,211.11 = 580.95/x
  3. Step 3: Cross multiply
    2,140.70x = 3,211.11 × 580.95
  4. Step 4: Simplify right side
    2,140.70x = 1,865,494.35
  5. Step 5: Solve for x
    x = 1,865,494.35/2,140.70
  6. Step 6: Final answer
    x = 871.44

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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.