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Finding the Fourth Proportional to 2,657.26, 3,984.26 and 1,012.05

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Solution

The fourth proportional to 2,657.26, 3,984.26 and 1,012.05 is: 1,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.26 : 3,984.26 = 1,012.05 : x
  2. Step 2: Convert to fraction form
    2,657.26/3,984.26 = 1,012.05/x
  3. Step 3: Cross multiply
    2,657.26x = 3,984.26 × 1,012.05
  4. Step 4: Simplify right side
    2,657.26x = 4,032,250.41
  5. Step 5: Solve for x
    x = 4,032,250.41/2,657.26
  6. Step 6: Final answer
    x = 1,517.45

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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.