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Finding the Fourth Proportional to 2,317, 3,475.50 and 673.42

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Solution

The fourth proportional to 2,317, 3,475.50 and 673.42 is: 1,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317 : 3,475.50 = 673.42 : x
  2. Step 2: Convert to fraction form
    2,317/3,475.50 = 673.42/x
  3. Step 3: Cross multiply
    2,317x = 3,475.50 × 673.42
  4. Step 4: Simplify right side
    2,317x = 2,340,471.21
  5. Step 5: Solve for x
    x = 2,340,471.21/2,317
  6. Step 6: Final answer
    x = 1,010.13

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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.