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Finding the Fourth Proportional to 2,683.02, 4,024.26 and 735.42

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Solution

The fourth proportional to 2,683.02, 4,024.26 and 735.42 is: 1,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.02 : 4,024.26 = 735.42 : x
  2. Step 2: Convert to fraction form
    2,683.02/4,024.26 = 735.42/x
  3. Step 3: Cross multiply
    2,683.02x = 4,024.26 × 735.42
  4. Step 4: Simplify right side
    2,683.02x = 2,959,521.29
  5. Step 5: Solve for x
    x = 2,959,521.29/2,683.02
  6. Step 6: Final answer
    x = 1,103.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.