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Finding the Fourth Proportional to 2,305.95, 3,182.91 and 2,188.41

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Solution

The fourth proportional to 2,305.95, 3,182.91 and 2,188.41 is: 3,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.95 : 3,182.91 = 2,188.41 : x
  2. Step 2: Convert to fraction form
    2,305.95/3,182.91 = 2,188.41/x
  3. Step 3: Cross multiply
    2,305.95x = 3,182.91 × 2,188.41
  4. Step 4: Simplify right side
    2,305.95x = 6,965,512.07
  5. Step 5: Solve for x
    x = 6,965,512.07/2,305.95
  6. Step 6: Final answer
    x = 3,020.67

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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.