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Finding the Fourth Proportional to 1,523.68, 2,102.67 and 825.05

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Solution

The fourth proportional to 1,523.68, 2,102.67 and 825.05 is: 1,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.68 : 2,102.67 = 825.05 : x
  2. Step 2: Convert to fraction form
    1,523.68/2,102.67 = 825.05/x
  3. Step 3: Cross multiply
    1,523.68x = 2,102.67 × 825.05
  4. Step 4: Simplify right side
    1,523.68x = 1,734,813.14
  5. Step 5: Solve for x
    x = 1,734,813.14/1,523.68
  6. Step 6: Final answer
    x = 1,138.57

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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.