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Finding the Fourth Proportional to 2,586.88, 3,880.32 and 2,129.03

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Solution

The fourth proportional to 2,586.88, 3,880.32 and 2,129.03 is: 3,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.88 : 3,880.32 = 2,129.03 : x
  2. Step 2: Convert to fraction form
    2,586.88/3,880.32 = 2,129.03/x
  3. Step 3: Cross multiply
    2,586.88x = 3,880.32 × 2,129.03
  4. Step 4: Simplify right side
    2,586.88x = 8,261,317.69
  5. Step 5: Solve for x
    x = 8,261,317.69/2,586.88
  6. Step 6: Final answer
    x = 3,193.55

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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.