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Finding the Fourth Proportional to 3,084.81, 4,258.43 and 1,967.24

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Solution

The fourth proportional to 3,084.81, 4,258.43 and 1,967.24 is: 2,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.81 : 4,258.43 = 1,967.24 : x
  2. Step 2: Convert to fraction form
    3,084.81/4,258.43 = 1,967.24/x
  3. Step 3: Cross multiply
    3,084.81x = 4,258.43 × 1,967.24
  4. Step 4: Simplify right side
    3,084.81x = 8,377,322.70
  5. Step 5: Solve for x
    x = 8,377,322.70/3,084.81
  6. Step 6: Final answer
    x = 2,715.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.