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Finding the Fourth Proportional to 2,321.34, 3,203.23 and 1,313.10

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Solution

The fourth proportional to 2,321.34, 3,203.23 and 1,313.10 is: 1,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.34 : 3,203.23 = 1,313.10 : x
  2. Step 2: Convert to fraction form
    2,321.34/3,203.23 = 1,313.10/x
  3. Step 3: Cross multiply
    2,321.34x = 3,203.23 × 1,313.10
  4. Step 4: Simplify right side
    2,321.34x = 4,206,150.23
  5. Step 5: Solve for x
    x = 4,206,150.23/2,321.34
  6. Step 6: Final answer
    x = 1,811.95

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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.