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Finding the Fourth Proportional to 1,523.65, 2,102.64 and 825.03

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Solution

The fourth proportional to 1,523.65, 2,102.64 and 825.03 is: 1,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.65 : 2,102.64 = 825.03 : x
  2. Step 2: Convert to fraction form
    1,523.65/2,102.64 = 825.03/x
  3. Step 3: Cross multiply
    1,523.65x = 2,102.64 × 825.03
  4. Step 4: Simplify right side
    1,523.65x = 1,734,737.89
  5. Step 5: Solve for x
    x = 1,734,737.89/1,523.65
  6. Step 6: Final answer
    x = 1,138.54

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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.