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Finding the Fourth Proportional to 2,950.45, 4,071.83 and 2,184.67

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Solution

The fourth proportional to 2,950.45, 4,071.83 and 2,184.67 is: 3,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.45 : 4,071.83 = 2,184.67 : x
  2. Step 2: Convert to fraction form
    2,950.45/4,071.83 = 2,184.67/x
  3. Step 3: Cross multiply
    2,950.45x = 4,071.83 × 2,184.67
  4. Step 4: Simplify right side
    2,950.45x = 8,895,573.56
  5. Step 5: Solve for x
    x = 8,895,573.56/2,950.45
  6. Step 6: Final answer
    x = 3,014.99

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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.