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Finding the Fourth Proportional to 2,642.52, 3,647.12 and 1,523.25

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Solution

The fourth proportional to 2,642.52, 3,647.12 and 1,523.25 is: 2,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.52 : 3,647.12 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    2,642.52/3,647.12 = 1,523.25/x
  3. Step 3: Cross multiply
    2,642.52x = 3,647.12 × 1,523.25
  4. Step 4: Simplify right side
    2,642.52x = 5,555,475.54
  5. Step 5: Solve for x
    x = 5,555,475.54/2,642.52
  6. Step 6: Final answer
    x = 2,102.34

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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.