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Finding the Fourth Proportional to 1,522.43, 2,100.44 and 933.11

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Solution

The fourth proportional to 1,522.43, 2,100.44 and 933.11 is: 1,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.43 : 2,100.44 = 933.11 : x
  2. Step 2: Convert to fraction form
    1,522.43/2,100.44 = 933.11/x
  3. Step 3: Cross multiply
    1,522.43x = 2,100.44 × 933.11
  4. Step 4: Simplify right side
    1,522.43x = 1,959,936.90
  5. Step 5: Solve for x
    x = 1,959,936.90/1,522.43
  6. Step 6: Final answer
    x = 1,287.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.