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Finding the Fourth Proportional to 1,522.11, 2,283.09 and 833.14

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Solution

The fourth proportional to 1,522.11, 2,283.09 and 833.14 is: 1,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.11 : 2,283.09 = 833.14 : x
  2. Step 2: Convert to fraction form
    1,522.11/2,283.09 = 833.14/x
  3. Step 3: Cross multiply
    1,522.11x = 2,283.09 × 833.14
  4. Step 4: Simplify right side
    1,522.11x = 1,902,140.36
  5. Step 5: Solve for x
    x = 1,902,140.36/1,522.11
  6. Step 6: Final answer
    x = 1,249.68

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1.5x scale

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.