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Finding the Fourth Proportional to 2,586.86, 3,880.35 and 738.14

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Solution

The fourth proportional to 2,586.86, 3,880.35 and 738.14 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.86 : 3,880.35 = 738.14 : x
  2. Step 2: Convert to fraction form
    2,586.86/3,880.35 = 738.14/x
  3. Step 3: Cross multiply
    2,586.86x = 3,880.35 × 738.14
  4. Step 4: Simplify right side
    2,586.86x = 2,864,241.55
  5. Step 5: Solve for x
    x = 2,864,241.55/2,586.86
  6. Step 6: Final answer
    x = 1,107.23

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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.