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Finding the Fourth Proportional to 2,847.32, 4,269.28 and 1,385

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Solution

The fourth proportional to 2,847.32, 4,269.28 and 1,385 is: 2,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.32 : 4,269.28 = 1,385 : x
  2. Step 2: Convert to fraction form
    2,847.32/4,269.28 = 1,385/x
  3. Step 3: Cross multiply
    2,847.32x = 4,269.28 × 1,385
  4. Step 4: Simplify right side
    2,847.32x = 5,912,952.80
  5. Step 5: Solve for x
    x = 5,912,952.80/2,847.32
  6. Step 6: Final answer
    x = 2,076.67

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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.