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Finding the Fourth Proportional to 4,266.20, 6,400.20 and 1,344.50

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Solution

The fourth proportional to 4,266.20, 6,400.20 and 1,344.50 is: 2,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.20 : 6,400.20 = 1,344.50 : x
  2. Step 2: Convert to fraction form
    4,266.20/6,400.20 = 1,344.50/x
  3. Step 3: Cross multiply
    4,266.20x = 6,400.20 × 1,344.50
  4. Step 4: Simplify right side
    4,266.20x = 8,605,068.90
  5. Step 5: Solve for x
    x = 8,605,068.90/4,266.20
  6. Step 6: Final answer
    x = 2,017.03

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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.