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Finding the Fourth Proportional to 2,524.24, 3,787.44 and 986.32

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Solution

The fourth proportional to 2,524.24, 3,787.44 and 986.32 is: 1,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.24 : 3,787.44 = 986.32 : x
  2. Step 2: Convert to fraction form
    2,524.24/3,787.44 = 986.32/x
  3. Step 3: Cross multiply
    2,524.24x = 3,787.44 × 986.32
  4. Step 4: Simplify right side
    2,524.24x = 3,735,627.82
  5. Step 5: Solve for x
    x = 3,735,627.82/2,524.24
  6. Step 6: Final answer
    x = 1,479.90

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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.