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Finding the Fourth Proportional to 2,447.53, 3,670.26 and 986.29

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Solution

The fourth proportional to 2,447.53, 3,670.26 and 986.29 is: 1,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.53 : 3,670.26 = 986.29 : x
  2. Step 2: Convert to fraction form
    2,447.53/3,670.26 = 986.29/x
  3. Step 3: Cross multiply
    2,447.53x = 3,670.26 × 986.29
  4. Step 4: Simplify right side
    2,447.53x = 3,619,940.74
  5. Step 5: Solve for x
    x = 3,619,940.74/2,447.53
  6. Step 6: Final answer
    x = 1,479.02

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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.