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Finding the Fourth Proportional to 2,447.06, 3,670.53 and 986.18

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Solution

The fourth proportional to 2,447.06, 3,670.53 and 986.18 is: 1,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.06 : 3,670.53 = 986.18 : x
  2. Step 2: Convert to fraction form
    2,447.06/3,670.53 = 986.18/x
  3. Step 3: Cross multiply
    2,447.06x = 3,670.53 × 986.18
  4. Step 4: Simplify right side
    2,447.06x = 3,619,784.92
  5. Step 5: Solve for x
    x = 3,619,784.92/2,447.06
  6. Step 6: Final answer
    x = 1,479.24

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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.