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Finding the Fourth Proportional to 2,447.33, 3,670.06 and 1,197.15

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Solution

The fourth proportional to 2,447.33, 3,670.06 and 1,197.15 is: 1,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.33 : 3,670.06 = 1,197.15 : x
  2. Step 2: Convert to fraction form
    2,447.33/3,670.06 = 1,197.15/x
  3. Step 3: Cross multiply
    2,447.33x = 3,670.06 × 1,197.15
  4. Step 4: Simplify right side
    2,447.33x = 4,393,628.78
  5. Step 5: Solve for x
    x = 4,393,628.78/2,447.33
  6. Step 6: Final answer
    x = 1,795.27

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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.