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Finding the Fourth Proportional to 1,523.86, 2,102.93 and 825.23

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Solution

The fourth proportional to 1,523.86, 2,102.93 and 825.23 is: 1,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.86 : 2,102.93 = 825.23 : x
  2. Step 2: Convert to fraction form
    1,523.86/2,102.93 = 825.23/x
  3. Step 3: Cross multiply
    1,523.86x = 2,102.93 × 825.23
  4. Step 4: Simplify right side
    1,523.86x = 1,735,400.92
  5. Step 5: Solve for x
    x = 1,735,400.92/1,523.86
  6. Step 6: Final answer
    x = 1,138.82

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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.