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Finding the Fourth Proportional to 2,683.38, 3,701.03 and 2,351.23

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Solution

The fourth proportional to 2,683.38, 3,701.03 and 2,351.23 is: 3,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.38 : 3,701.03 = 2,351.23 : x
  2. Step 2: Convert to fraction form
    2,683.38/3,701.03 = 2,351.23/x
  3. Step 3: Cross multiply
    2,683.38x = 3,701.03 × 2,351.23
  4. Step 4: Simplify right side
    2,683.38x = 8,701,951.76
  5. Step 5: Solve for x
    x = 8,701,951.76/2,683.38
  6. Step 6: Final answer
    x = 3,242.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.