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Finding the Fourth Proportional to 2,122.36, 3,182.18 and 1,024.54

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Solution

The fourth proportional to 2,122.36, 3,182.18 and 1,024.54 is: 1,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.36 : 3,182.18 = 1,024.54 : x
  2. Step 2: Convert to fraction form
    2,122.36/3,182.18 = 1,024.54/x
  3. Step 3: Cross multiply
    2,122.36x = 3,182.18 × 1,024.54
  4. Step 4: Simplify right side
    2,122.36x = 3,260,270.70
  5. Step 5: Solve for x
    x = 3,260,270.70/2,122.36
  6. Step 6: Final answer
    x = 1,536.15

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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.