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Finding the Fourth Proportional to 2,317.15, 3,474.91 and 673.26

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Solution

The fourth proportional to 2,317.15, 3,474.91 and 673.26 is: 1,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.15 : 3,474.91 = 673.26 : x
  2. Step 2: Convert to fraction form
    2,317.15/3,474.91 = 673.26/x
  3. Step 3: Cross multiply
    2,317.15x = 3,474.91 × 673.26
  4. Step 4: Simplify right side
    2,317.15x = 2,339,517.91
  5. Step 5: Solve for x
    x = 2,339,517.91/2,317.15
  6. Step 6: Final answer
    x = 1,009.65

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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.