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Finding the Fourth Proportional to 1,522.65, 2,101.06 and 859.38

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Solution

The fourth proportional to 1,522.65, 2,101.06 and 859.38 is: 1,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.65 : 2,101.06 = 859.38 : x
  2. Step 2: Convert to fraction form
    1,522.65/2,101.06 = 859.38/x
  3. Step 3: Cross multiply
    1,522.65x = 2,101.06 × 859.38
  4. Step 4: Simplify right side
    1,522.65x = 1,805,608.94
  5. Step 5: Solve for x
    x = 1,805,608.94/1,522.65
  6. Step 6: Final answer
    x = 1,185.83

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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.