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Finding the Fourth Proportional to 1,682.36, 2,321.99 and 974.32

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Solution

The fourth proportional to 1,682.36, 2,321.99 and 974.32 is: 1,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.36 : 2,321.99 = 974.32 : x
  2. Step 2: Convert to fraction form
    1,682.36/2,321.99 = 974.32/x
  3. Step 3: Cross multiply
    1,682.36x = 2,321.99 × 974.32
  4. Step 4: Simplify right side
    1,682.36x = 2,262,344.82
  5. Step 5: Solve for x
    x = 2,262,344.82/1,682.36
  6. Step 6: Final answer
    x = 1,344.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.