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Finding the Fourth Proportional to 2,318.10, 3,477.38 and 674.66

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Solution

The fourth proportional to 2,318.10, 3,477.38 and 674.66 is: 1,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.10 : 3,477.38 = 674.66 : x
  2. Step 2: Convert to fraction form
    2,318.10/3,477.38 = 674.66/x
  3. Step 3: Cross multiply
    2,318.10x = 3,477.38 × 674.66
  4. Step 4: Simplify right side
    2,318.10x = 2,346,049.19
  5. Step 5: Solve for x
    x = 2,346,049.19/2,318.10
  6. Step 6: Final answer
    x = 1,012.06

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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.