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Finding the Fourth Proportional to 1,522.24, 2,100.54 and 859

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Solution

The fourth proportional to 1,522.24, 2,100.54 and 859 is: 1,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.24 : 2,100.54 = 859 : x
  2. Step 2: Convert to fraction form
    1,522.24/2,100.54 = 859/x
  3. Step 3: Cross multiply
    1,522.24x = 2,100.54 × 859
  4. Step 4: Simplify right side
    1,522.24x = 1,804,363.86
  5. Step 5: Solve for x
    x = 1,804,363.86/1,522.24
  6. Step 6: Final answer
    x = 1,185.33

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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.