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Finding the Fourth Proportional to 2,318.12, 3,477.24 and 674.68

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Solution

The fourth proportional to 2,318.12, 3,477.24 and 674.68 is: 1,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.12 : 3,477.24 = 674.68 : x
  2. Step 2: Convert to fraction form
    2,318.12/3,477.24 = 674.68/x
  3. Step 3: Cross multiply
    2,318.12x = 3,477.24 × 674.68
  4. Step 4: Simplify right side
    2,318.12x = 2,346,024.28
  5. Step 5: Solve for x
    x = 2,346,024.28/2,318.12
  6. Step 6: Final answer
    x = 1,012.04

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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.