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Finding the Fourth Proportional to 2,303.27, 3,454.89 and 1,379.09

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Solution

The fourth proportional to 2,303.27, 3,454.89 and 1,379.09 is: 2,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.27 : 3,454.89 = 1,379.09 : x
  2. Step 2: Convert to fraction form
    2,303.27/3,454.89 = 1,379.09/x
  3. Step 3: Cross multiply
    2,303.27x = 3,454.89 × 1,379.09
  4. Step 4: Simplify right side
    2,303.27x = 4,764,607.72
  5. Step 5: Solve for x
    x = 4,764,607.72/2,303.27
  6. Step 6: Final answer
    x = 2,068.63

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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.