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Finding the Fourth Proportional to 2,363.58, 3,261.13 and 1,524.02

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Solution

The fourth proportional to 2,363.58, 3,261.13 and 1,524.02 is: 2,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.58 : 3,261.13 = 1,524.02 : x
  2. Step 2: Convert to fraction form
    2,363.58/3,261.13 = 1,524.02/x
  3. Step 3: Cross multiply
    2,363.58x = 3,261.13 × 1,524.02
  4. Step 4: Simplify right side
    2,363.58x = 4,970,007.23
  5. Step 5: Solve for x
    x = 4,970,007.23/2,363.58
  6. Step 6: Final answer
    x = 2,102.75

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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.