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Finding the Fourth Proportional to 3,278.28, 4,522.74 and 1,880.28

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Solution

The fourth proportional to 3,278.28, 4,522.74 and 1,880.28 is: 2,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.28 : 4,522.74 = 1,880.28 : x
  2. Step 2: Convert to fraction form
    3,278.28/4,522.74 = 1,880.28/x
  3. Step 3: Cross multiply
    3,278.28x = 4,522.74 × 1,880.28
  4. Step 4: Simplify right side
    3,278.28x = 8,504,017.57
  5. Step 5: Solve for x
    x = 8,504,017.57/3,278.28
  6. Step 6: Final answer
    x = 2,594.05

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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.