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Finding the Fourth Proportional to 4,976.64, 7,466.15 and 1,466.78

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Solution

The fourth proportional to 4,976.64, 7,466.15 and 1,466.78 is: 2,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.64 : 7,466.15 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    4,976.64/7,466.15 = 1,466.78/x
  3. Step 3: Cross multiply
    4,976.64x = 7,466.15 × 1,466.78
  4. Step 4: Simplify right side
    4,976.64x = 10,951,154.83
  5. Step 5: Solve for x
    x = 10,951,154.83/4,976.64
  6. Step 6: Final answer
    x = 2,200.51

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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.