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Finding the Fourth Proportional to 2,318.16, 3,476.42 and 674.26

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Solution

The fourth proportional to 2,318.16, 3,476.42 and 674.26 is: 1,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.16 : 3,476.42 = 674.26 : x
  2. Step 2: Convert to fraction form
    2,318.16/3,476.42 = 674.26/x
  3. Step 3: Cross multiply
    2,318.16x = 3,476.42 × 674.26
  4. Step 4: Simplify right side
    2,318.16x = 2,344,010.95
  5. Step 5: Solve for x
    x = 2,344,010.95/2,318.16
  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.