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Finding the Fourth Proportional to 2,533.94, 3,496.88 and 1,414.83

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Solution

The fourth proportional to 2,533.94, 3,496.88 and 1,414.83 is: 1,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.94 : 3,496.88 = 1,414.83 : x
  2. Step 2: Convert to fraction form
    2,533.94/3,496.88 = 1,414.83/x
  3. Step 3: Cross multiply
    2,533.94x = 3,496.88 × 1,414.83
  4. Step 4: Simplify right side
    2,533.94x = 4,947,494.27
  5. Step 5: Solve for x
    x = 4,947,494.27/2,533.94
  6. Step 6: Final answer
    x = 1,952.49

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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.