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Finding the Fourth Proportional to 1,633.52, 2,253.28 and 1,524.17

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Solution

The fourth proportional to 1,633.52, 2,253.28 and 1,524.17 is: 2,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.52 : 2,253.28 = 1,524.17 : x
  2. Step 2: Convert to fraction form
    1,633.52/2,253.28 = 1,524.17/x
  3. Step 3: Cross multiply
    1,633.52x = 2,253.28 × 1,524.17
  4. Step 4: Simplify right side
    1,633.52x = 3,434,381.78
  5. Step 5: Solve for x
    x = 3,434,381.78/1,633.52
  6. Step 6: Final answer
    x = 2,102.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.