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Finding the Fourth Proportional to 2,683.26, 4,026.51 and 951.75

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Solution

The fourth proportional to 2,683.26, 4,026.51 and 951.75 is: 1,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.26 : 4,026.51 = 951.75 : x
  2. Step 2: Convert to fraction form
    2,683.26/4,026.51 = 951.75/x
  3. Step 3: Cross multiply
    2,683.26x = 4,026.51 × 951.75
  4. Step 4: Simplify right side
    2,683.26x = 3,832,230.89
  5. Step 5: Solve for x
    x = 3,832,230.89/2,683.26
  6. Step 6: Final answer
    x = 1,428.20

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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.