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Finding the Fourth Proportional to 2,772.69, 4,157.74 and 1,017.26

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Solution

The fourth proportional to 2,772.69, 4,157.74 and 1,017.26 is: 1,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.69 : 4,157.74 = 1,017.26 : x
  2. Step 2: Convert to fraction form
    2,772.69/4,157.74 = 1,017.26/x
  3. Step 3: Cross multiply
    2,772.69x = 4,157.74 × 1,017.26
  4. Step 4: Simplify right side
    2,772.69x = 4,229,476.72
  5. Step 5: Solve for x
    x = 4,229,476.72/2,772.69
  6. Step 6: Final answer
    x = 1,525.41

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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.