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Finding the Fourth Proportional to 2,318.15, 3,476.41 and 674.26

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Solution

The fourth proportional to 2,318.15, 3,476.41 and 674.26 is: 1,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.15 : 3,476.41 = 674.26 : x
  2. Step 2: Convert to fraction form
    2,318.15/3,476.41 = 674.26/x
  3. Step 3: Cross multiply
    2,318.15x = 3,476.41 × 674.26
  4. Step 4: Simplify right side
    2,318.15x = 2,344,004.21
  5. Step 5: Solve for x
    x = 2,344,004.21/2,318.15
  6. Step 6: Final answer
    x = 1,011.15

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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.