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Finding the Fourth Proportional to 2,317.31, 3,475.96 and 674.02

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Solution

The fourth proportional to 2,317.31, 3,475.96 and 674.02 is: 1,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.31 : 3,475.96 = 674.02 : x
  2. Step 2: Convert to fraction form
    2,317.31/3,475.96 = 674.02/x
  3. Step 3: Cross multiply
    2,317.31x = 3,475.96 × 674.02
  4. Step 4: Simplify right side
    2,317.31x = 2,342,873.01
  5. Step 5: Solve for x
    x = 2,342,873.01/2,317.31
  6. Step 6: Final answer
    x = 1,011.03

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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.