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Finding the Fourth Proportional to 1,522.97, 2,101.80 and 859.58

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Solution

The fourth proportional to 1,522.97, 2,101.80 and 859.58 is: 1,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.97 : 2,101.80 = 859.58 : x
  2. Step 2: Convert to fraction form
    1,522.97/2,101.80 = 859.58/x
  3. Step 3: Cross multiply
    1,522.97x = 2,101.80 × 859.58
  4. Step 4: Simplify right side
    1,522.97x = 1,806,650.44
  5. Step 5: Solve for x
    x = 1,806,650.44/1,522.97
  6. Step 6: Final answer
    x = 1,186.27

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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.