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Finding the Fourth Proportional to 2,847.50, 3,928.46 and 2,103.24

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Solution

The fourth proportional to 2,847.50, 3,928.46 and 2,103.24 is: 2,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.50 : 3,928.46 = 2,103.24 : x
  2. Step 2: Convert to fraction form
    2,847.50/3,928.46 = 2,103.24/x
  3. Step 3: Cross multiply
    2,847.50x = 3,928.46 × 2,103.24
  4. Step 4: Simplify right side
    2,847.50x = 8,262,494.21
  5. Step 5: Solve for x
    x = 8,262,494.21/2,847.50
  6. Step 6: Final answer
    x = 2,901.67

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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.