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Finding the Fourth Proportional to 2,305.95, 3,182.12 and 1,297.64

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Solution

The fourth proportional to 2,305.95, 3,182.12 and 1,297.64 is: 1,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.95 : 3,182.12 = 1,297.64 : x
  2. Step 2: Convert to fraction form
    2,305.95/3,182.12 = 1,297.64/x
  3. Step 3: Cross multiply
    2,305.95x = 3,182.12 × 1,297.64
  4. Step 4: Simplify right side
    2,305.95x = 4,129,239.05
  5. Step 5: Solve for x
    x = 4,129,239.05/2,305.95
  6. Step 6: Final answer
    x = 1,790.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.