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Finding the Fourth Proportional to 2,671.76, 4,007.53 and 1,794.64

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Solution

The fourth proportional to 2,671.76, 4,007.53 and 1,794.64 is: 2,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.76 : 4,007.53 = 1,794.64 : x
  2. Step 2: Convert to fraction form
    2,671.76/4,007.53 = 1,794.64/x
  3. Step 3: Cross multiply
    2,671.76x = 4,007.53 × 1,794.64
  4. Step 4: Simplify right side
    2,671.76x = 7,192,059.13
  5. Step 5: Solve for x
    x = 7,192,059.13/2,671.76
  6. Step 6: Final answer
    x = 2,691.88

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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.