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Finding the Fourth Proportional to 2,671.32, 4,007.22 and 696.94

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Solution

The fourth proportional to 2,671.32, 4,007.22 and 696.94 is: 1,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.32 : 4,007.22 = 696.94 : x
  2. Step 2: Convert to fraction form
    2,671.32/4,007.22 = 696.94/x
  3. Step 3: Cross multiply
    2,671.32x = 4,007.22 × 696.94
  4. Step 4: Simplify right side
    2,671.32x = 2,792,791.91
  5. Step 5: Solve for x
    x = 2,792,791.91/2,671.32
  6. Step 6: Final answer
    x = 1,045.47

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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.