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Finding the Fourth Proportional to 2,317.34, 3,475.83 and 673.91

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Solution

The fourth proportional to 2,317.34, 3,475.83 and 673.91 is: 1,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.34 : 3,475.83 = 673.91 : x
  2. Step 2: Convert to fraction form
    2,317.34/3,475.83 = 673.91/x
  3. Step 3: Cross multiply
    2,317.34x = 3,475.83 × 673.91
  4. Step 4: Simplify right side
    2,317.34x = 2,342,379.22
  5. Step 5: Solve for x
    x = 2,342,379.22/2,317.34
  6. Step 6: Final answer
    x = 1,010.81

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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.