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Finding the Fourth Proportional to 1,822.48, 2,734.32 and 768.80

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Solution

The fourth proportional to 1,822.48, 2,734.32 and 768.80 is: 1,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.48 : 2,734.32 = 768.80 : x
  2. Step 2: Convert to fraction form
    1,822.48/2,734.32 = 768.80/x
  3. Step 3: Cross multiply
    1,822.48x = 2,734.32 × 768.80
  4. Step 4: Simplify right side
    1,822.48x = 2,102,145.22
  5. Step 5: Solve for x
    x = 2,102,145.22/1,822.48
  6. Step 6: Final answer
    x = 1,153.45

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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.