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Finding the Fourth Proportional to 2,585.20, 3,874.20 and 1,921.90

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Solution

The fourth proportional to 2,585.20, 3,874.20 and 1,921.90 is: 2,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.20 : 3,874.20 = 1,921.90 : x
  2. Step 2: Convert to fraction form
    2,585.20/3,874.20 = 1,921.90/x
  3. Step 3: Cross multiply
    2,585.20x = 3,874.20 × 1,921.90
  4. Step 4: Simplify right side
    2,585.20x = 7,445,824.98
  5. Step 5: Solve for x
    x = 7,445,824.98/2,585.20
  6. Step 6: Final answer
    x = 2,880.17

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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.