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Finding the Fourth Proportional to 1,722.21, 2,582.37 and 797.26

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Solution

The fourth proportional to 1,722.21, 2,582.37 and 797.26 is: 1,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.21 : 2,582.37 = 797.26 : x
  2. Step 2: Convert to fraction form
    1,722.21/2,582.37 = 797.26/x
  3. Step 3: Cross multiply
    1,722.21x = 2,582.37 × 797.26
  4. Step 4: Simplify right side
    1,722.21x = 2,058,820.93
  5. Step 5: Solve for x
    x = 2,058,820.93/1,722.21
  6. Step 6: Final answer
    x = 1,195.45

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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.