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Finding the Fourth Proportional to 2,585.91, 3,880.82 and 1,894.37

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Solution

The fourth proportional to 2,585.91, 3,880.82 and 1,894.37 is: 2,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.91 : 3,880.82 = 1,894.37 : x
  2. Step 2: Convert to fraction form
    2,585.91/3,880.82 = 1,894.37/x
  3. Step 3: Cross multiply
    2,585.91x = 3,880.82 × 1,894.37
  4. Step 4: Simplify right side
    2,585.91x = 7,351,689.58
  5. Step 5: Solve for x
    x = 7,351,689.58/2,585.91
  6. Step 6: Final answer
    x = 2,842.99

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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.