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Finding the Fourth Proportional to 2,682.75, 4,024.26 and 951.51

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Solution

The fourth proportional to 2,682.75, 4,024.26 and 951.51 is: 1,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.75 : 4,024.26 = 951.51 : x
  2. Step 2: Convert to fraction form
    2,682.75/4,024.26 = 951.51/x
  3. Step 3: Cross multiply
    2,682.75x = 4,024.26 × 951.51
  4. Step 4: Simplify right side
    2,682.75x = 3,829,123.63
  5. Step 5: Solve for x
    x = 3,829,123.63/2,682.75
  6. Step 6: Final answer
    x = 1,427.31

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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.