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Finding the Fourth Proportional to 2,587.29, 3,880.94 and 855.91

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Solution

The fourth proportional to 2,587.29, 3,880.94 and 855.91 is: 1,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.29 : 3,880.94 = 855.91 : x
  2. Step 2: Convert to fraction form
    2,587.29/3,880.94 = 855.91/x
  3. Step 3: Cross multiply
    2,587.29x = 3,880.94 × 855.91
  4. Step 4: Simplify right side
    2,587.29x = 3,321,735.36
  5. Step 5: Solve for x
    x = 3,321,735.36/2,587.29
  6. Step 6: Final answer
    x = 1,283.87

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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.