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Finding the Fourth Proportional to 2,533.70, 3,496.08 and 1,414.28

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Solution

The fourth proportional to 2,533.70, 3,496.08 and 1,414.28 is: 1,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.70 : 3,496.08 = 1,414.28 : x
  2. Step 2: Convert to fraction form
    2,533.70/3,496.08 = 1,414.28/x
  3. Step 3: Cross multiply
    2,533.70x = 3,496.08 × 1,414.28
  4. Step 4: Simplify right side
    2,533.70x = 4,944,436.02
  5. Step 5: Solve for x
    x = 4,944,436.02/2,533.70
  6. Step 6: Final answer
    x = 1,951.47

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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.