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Finding the Fourth Proportional to 2,672.94, 4,008.60 and 1,029.36

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Solution

The fourth proportional to 2,672.94, 4,008.60 and 1,029.36 is: 1,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.94 : 4,008.60 = 1,029.36 : x
  2. Step 2: Convert to fraction form
    2,672.94/4,008.60 = 1,029.36/x
  3. Step 3: Cross multiply
    2,672.94x = 4,008.60 × 1,029.36
  4. Step 4: Simplify right side
    2,672.94x = 4,126,292.50
  5. Step 5: Solve for x
    x = 4,126,292.50/2,672.94
  6. Step 6: Final answer
    x = 1,543.73

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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.