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Finding the Fourth Proportional to 3,111.84, 4,669.38 and 2,449.67

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Solution

The fourth proportional to 3,111.84, 4,669.38 and 2,449.67 is: 3,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.84 : 4,669.38 = 2,449.67 : x
  2. Step 2: Convert to fraction form
    3,111.84/4,669.38 = 2,449.67/x
  3. Step 3: Cross multiply
    3,111.84x = 4,669.38 × 2,449.67
  4. Step 4: Simplify right side
    3,111.84x = 11,438,416.76
  5. Step 5: Solve for x
    x = 11,438,416.76/3,111.84
  6. Step 6: Final answer
    x = 3,675.77

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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.