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Finding the Fourth Proportional to 2,446.86, 3,670.56 and 986.04

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Solution

The fourth proportional to 2,446.86, 3,670.56 and 986.04 is: 1,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.86 : 3,670.56 = 986.04 : x
  2. Step 2: Convert to fraction form
    2,446.86/3,670.56 = 986.04/x
  3. Step 3: Cross multiply
    2,446.86x = 3,670.56 × 986.04
  4. Step 4: Simplify right side
    2,446.86x = 3,619,318.98
  5. Step 5: Solve for x
    x = 3,619,318.98/2,446.86
  6. Step 6: Final answer
    x = 1,479.17

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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.