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Finding the Fourth Proportional to 2,140.70, 3,211.07 and 659.91

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Solution

The fourth proportional to 2,140.70, 3,211.07 and 659.91 is: 989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.70 : 3,211.07 = 659.91 : x
  2. Step 2: Convert to fraction form
    2,140.70/3,211.07 = 659.91/x
  3. Step 3: Cross multiply
    2,140.70x = 3,211.07 × 659.91
  4. Step 4: Simplify right side
    2,140.70x = 2,118,999.50
  5. Step 5: Solve for x
    x = 2,118,999.50/2,140.70
  6. Step 6: Final answer
    x = 989.86

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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.