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Finding the Fourth Proportional to 2,683.34, 4,025.08 and 735.55

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Solution

The fourth proportional to 2,683.34, 4,025.08 and 735.55 is: 1,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.34 : 4,025.08 = 735.55 : x
  2. Step 2: Convert to fraction form
    2,683.34/4,025.08 = 735.55/x
  3. Step 3: Cross multiply
    2,683.34x = 4,025.08 × 735.55
  4. Step 4: Simplify right side
    2,683.34x = 2,960,634.31
  5. Step 5: Solve for x
    x = 2,960,634.31/2,683.34
  6. Step 6: Final answer
    x = 1,103.34

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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.