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Finding the Fourth Proportional to 2,121.66, 3,179.70 and 1,024.52

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Solution

The fourth proportional to 2,121.66, 3,179.70 and 1,024.52 is: 1,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.66 : 3,179.70 = 1,024.52 : x
  2. Step 2: Convert to fraction form
    2,121.66/3,179.70 = 1,024.52/x
  3. Step 3: Cross multiply
    2,121.66x = 3,179.70 × 1,024.52
  4. Step 4: Simplify right side
    2,121.66x = 3,257,650.35
  5. Step 5: Solve for x
    x = 3,257,650.35/2,121.66
  6. Step 6: Final answer
    x = 1,535.43

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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.