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Finding the Fourth Proportional to 2,318.09, 3,477.13 and 674.60

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Solution

The fourth proportional to 2,318.09, 3,477.13 and 674.60 is: 1,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.09 : 3,477.13 = 674.60 : x
  2. Step 2: Convert to fraction form
    2,318.09/3,477.13 = 674.60/x
  3. Step 3: Cross multiply
    2,318.09x = 3,477.13 × 674.60
  4. Step 4: Simplify right side
    2,318.09x = 2,345,652.83
  5. Step 5: Solve for x
    x = 2,345,652.83/2,318.09
  6. Step 6: Final answer
    x = 1,011.89

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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.