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Finding the Fourth Proportional to 2,579.68, 3,868.32 and 936.16

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Solution

The fourth proportional to 2,579.68, 3,868.32 and 936.16 is: 1,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.68 : 3,868.32 = 936.16 : x
  2. Step 2: Convert to fraction form
    2,579.68/3,868.32 = 936.16/x
  3. Step 3: Cross multiply
    2,579.68x = 3,868.32 × 936.16
  4. Step 4: Simplify right side
    2,579.68x = 3,621,366.45
  5. Step 5: Solve for x
    x = 3,621,366.45/2,579.68
  6. Step 6: Final answer
    x = 1,403.80

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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.