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Finding the Fourth Proportional to 2,146.40, 3,219.60 and 2,000.60

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Solution

The fourth proportional to 2,146.40, 3,219.60 and 2,000.60 is: 3,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.40 : 3,219.60 = 2,000.60 : x
  2. Step 2: Convert to fraction form
    2,146.40/3,219.60 = 2,000.60/x
  3. Step 3: Cross multiply
    2,146.40x = 3,219.60 × 2,000.60
  4. Step 4: Simplify right side
    2,146.40x = 6,441,131.76
  5. Step 5: Solve for x
    x = 6,441,131.76/2,146.40
  6. Step 6: Final answer
    x = 3,000.90

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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.