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Finding the Fourth Proportional to 4,640.76, 6,960.76 and 2,268.10

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Solution

The fourth proportional to 4,640.76, 6,960.76 and 2,268.10 is: 3,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.76 : 6,960.76 = 2,268.10 : x
  2. Step 2: Convert to fraction form
    4,640.76/6,960.76 = 2,268.10/x
  3. Step 3: Cross multiply
    4,640.76x = 6,960.76 × 2,268.10
  4. Step 4: Simplify right side
    4,640.76x = 15,787,699.76
  5. Step 5: Solve for x
    x = 15,787,699.76/4,640.76
  6. Step 6: Final answer
    x = 3,401.96

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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.