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Finding the Fourth Proportional to 1,522.19, 2,100.84 and 859.31

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Solution

The fourth proportional to 1,522.19, 2,100.84 and 859.31 is: 1,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.19 : 2,100.84 = 859.31 : x
  2. Step 2: Convert to fraction form
    1,522.19/2,100.84 = 859.31/x
  3. Step 3: Cross multiply
    1,522.19x = 2,100.84 × 859.31
  4. Step 4: Simplify right side
    1,522.19x = 1,805,266.97
  5. Step 5: Solve for x
    x = 1,805,266.97/1,522.19
  6. Step 6: Final answer
    x = 1,185.96

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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.