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Finding the Fourth Proportional to 2,291.92, 3,441.12 and 2,172.40

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Solution

The fourth proportional to 2,291.92, 3,441.12 and 2,172.40 is: 3,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.92 : 3,441.12 = 2,172.40 : x
  2. Step 2: Convert to fraction form
    2,291.92/3,441.12 = 2,172.40/x
  3. Step 3: Cross multiply
    2,291.92x = 3,441.12 × 2,172.40
  4. Step 4: Simplify right side
    2,291.92x = 7,475,489.09
  5. Step 5: Solve for x
    x = 7,475,489.09/2,291.92
  6. Step 6: Final answer
    x = 3,261.67

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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.