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Finding the Fourth Proportional to 2,392.69, 3,589.46 and 986.32

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Solution

The fourth proportional to 2,392.69, 3,589.46 and 986.32 is: 1,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.69 : 3,589.46 = 986.32 : x
  2. Step 2: Convert to fraction form
    2,392.69/3,589.46 = 986.32/x
  3. Step 3: Cross multiply
    2,392.69x = 3,589.46 × 986.32
  4. Step 4: Simplify right side
    2,392.69x = 3,540,360.67
  5. Step 5: Solve for x
    x = 3,540,360.67/2,392.69
  6. Step 6: Final answer
    x = 1,479.66

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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.