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Finding the Fourth Proportional to 2,317, 3,474.88 and 673.16

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Solution

The fourth proportional to 2,317, 3,474.88 and 673.16 is: 1,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317 : 3,474.88 = 673.16 : x
  2. Step 2: Convert to fraction form
    2,317/3,474.88 = 673.16/x
  3. Step 3: Cross multiply
    2,317x = 3,474.88 × 673.16
  4. Step 4: Simplify right side
    2,317x = 2,339,150.22
  5. Step 5: Solve for x
    x = 2,339,150.22/2,317
  6. Step 6: Final answer
    x = 1,009.56

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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.