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Finding the Fourth Proportional to 2,671.94, 4,007.91 and 1,029.26

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Solution

The fourth proportional to 2,671.94, 4,007.91 and 1,029.26 is: 1,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.94 : 4,007.91 = 1,029.26 : x
  2. Step 2: Convert to fraction form
    2,671.94/4,007.91 = 1,029.26/x
  3. Step 3: Cross multiply
    2,671.94x = 4,007.91 × 1,029.26
  4. Step 4: Simplify right side
    2,671.94x = 4,125,181.45
  5. Step 5: Solve for x
    x = 4,125,181.45/2,671.94
  6. Step 6: Final answer
    x = 1,543.89

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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.