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Finding the Fourth Proportional to 2,579.98, 3,868.35 and 936.49

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Solution

The fourth proportional to 2,579.98, 3,868.35 and 936.49 is: 1,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.98 : 3,868.35 = 936.49 : x
  2. Step 2: Convert to fraction form
    2,579.98/3,868.35 = 936.49/x
  3. Step 3: Cross multiply
    2,579.98x = 3,868.35 × 936.49
  4. Step 4: Simplify right side
    2,579.98x = 3,622,671.09
  5. Step 5: Solve for x
    x = 3,622,671.09/2,579.98
  6. Step 6: Final answer
    x = 1,404.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.