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Finding the Fourth Proportional to 3,081.47, 4,619 and 1,971.67

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Solution

The fourth proportional to 3,081.47, 4,619 and 1,971.67 is: 2,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.47 : 4,619 = 1,971.67 : x
  2. Step 2: Convert to fraction form
    3,081.47/4,619 = 1,971.67/x
  3. Step 3: Cross multiply
    3,081.47x = 4,619 × 1,971.67
  4. Step 4: Simplify right side
    3,081.47x = 9,107,143.73
  5. Step 5: Solve for x
    x = 9,107,143.73/3,081.47
  6. Step 6: Final answer
    x = 2,955.45

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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.