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Finding the Fourth Proportional to 2,138.24, 3,206.26 and 983

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Solution

The fourth proportional to 2,138.24, 3,206.26 and 983 is: 1,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.24 : 3,206.26 = 983 : x
  2. Step 2: Convert to fraction form
    2,138.24/3,206.26 = 983/x
  3. Step 3: Cross multiply
    2,138.24x = 3,206.26 × 983
  4. Step 4: Simplify right side
    2,138.24x = 3,151,753.58
  5. Step 5: Solve for x
    x = 3,151,753.58/2,138.24
  6. Step 6: Final answer
    x = 1,473.99

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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.