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Finding the Fourth Proportional to 2,553.94, 3,524.10 and 1,434.87

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Solution

The fourth proportional to 2,553.94, 3,524.10 and 1,434.87 is: 1,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.94 : 3,524.10 = 1,434.87 : x
  2. Step 2: Convert to fraction form
    2,553.94/3,524.10 = 1,434.87/x
  3. Step 3: Cross multiply
    2,553.94x = 3,524.10 × 1,434.87
  4. Step 4: Simplify right side
    2,553.94x = 5,056,625.37
  5. Step 5: Solve for x
    x = 5,056,625.37/2,553.94
  6. Step 6: Final answer
    x = 1,979.93

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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.