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Finding the Fourth Proportional to 2,317.40, 3,476.74 and 674.12

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Solution

The fourth proportional to 2,317.40, 3,476.74 and 674.12 is: 1,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.40 : 3,476.74 = 674.12 : x
  2. Step 2: Convert to fraction form
    2,317.40/3,476.74 = 674.12/x
  3. Step 3: Cross multiply
    2,317.40x = 3,476.74 × 674.12
  4. Step 4: Simplify right side
    2,317.40x = 2,343,739.97
  5. Step 5: Solve for x
    x = 2,343,739.97/2,317.40
  6. Step 6: Final answer
    x = 1,011.37

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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.