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Finding the Fourth Proportional to 2,880.22, 3,974.19 and 2,094.58

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Solution

The fourth proportional to 2,880.22, 3,974.19 and 2,094.58 is: 2,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.22 : 3,974.19 = 2,094.58 : x
  2. Step 2: Convert to fraction form
    2,880.22/3,974.19 = 2,094.58/x
  3. Step 3: Cross multiply
    2,880.22x = 3,974.19 × 2,094.58
  4. Step 4: Simplify right side
    2,880.22x = 8,324,258.89
  5. Step 5: Solve for x
    x = 8,324,258.89/2,880.22
  6. Step 6: Final answer
    x = 2,890.15

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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.