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Finding the Fourth Proportional to 2,139.92, 3,208.06 and 1,491.11

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Solution

The fourth proportional to 2,139.92, 3,208.06 and 1,491.11 is: 2,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.92 : 3,208.06 = 1,491.11 : x
  2. Step 2: Convert to fraction form
    2,139.92/3,208.06 = 1,491.11/x
  3. Step 3: Cross multiply
    2,139.92x = 3,208.06 × 1,491.11
  4. Step 4: Simplify right side
    2,139.92x = 4,783,559.81
  5. Step 5: Solve for x
    x = 4,783,559.81/2,139.92
  6. Step 6: Final answer
    x = 2,235.39

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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.