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Finding the Fourth Proportional to 2,007.49, 3,011.24 and 546.64

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Solution

The fourth proportional to 2,007.49, 3,011.24 and 546.64 is: 819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.49 : 3,011.24 = 546.64 : x
  2. Step 2: Convert to fraction form
    2,007.49/3,011.24 = 546.64/x
  3. Step 3: Cross multiply
    2,007.49x = 3,011.24 × 546.64
  4. Step 4: Simplify right side
    2,007.49x = 1,646,064.23
  5. Step 5: Solve for x
    x = 1,646,064.23/2,007.49
  6. Step 6: Final answer
    x = 819.96

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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.