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Finding the Fourth Proportional to 2,208, 3,312.06 and 1,111.76

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Solution

The fourth proportional to 2,208, 3,312.06 and 1,111.76 is: 1,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208 : 3,312.06 = 1,111.76 : x
  2. Step 2: Convert to fraction form
    2,208/3,312.06 = 1,111.76/x
  3. Step 3: Cross multiply
    2,208x = 3,312.06 × 1,111.76
  4. Step 4: Simplify right side
    2,208x = 3,682,215.83
  5. Step 5: Solve for x
    x = 3,682,215.83/2,208
  6. Step 6: Final answer
    x = 1,667.67

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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.