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Finding the Fourth Proportional to 1,522.56, 2,101.20 and 859.44

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Solution

The fourth proportional to 1,522.56, 2,101.20 and 859.44 is: 1,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.56 : 2,101.20 = 859.44 : x
  2. Step 2: Convert to fraction form
    1,522.56/2,101.20 = 859.44/x
  3. Step 3: Cross multiply
    1,522.56x = 2,101.20 × 859.44
  4. Step 4: Simplify right side
    1,522.56x = 1,805,855.33
  5. Step 5: Solve for x
    x = 1,805,855.33/1,522.56
  6. Step 6: Final answer
    x = 1,186.07

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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.