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Finding the Fourth Proportional to 2,846.80, 4,270.21 and 1,384.70

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Solution

The fourth proportional to 2,846.80, 4,270.21 and 1,384.70 is: 2,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.80 : 4,270.21 = 1,384.70 : x
  2. Step 2: Convert to fraction form
    2,846.80/4,270.21 = 1,384.70/x
  3. Step 3: Cross multiply
    2,846.80x = 4,270.21 × 1,384.70
  4. Step 4: Simplify right side
    2,846.80x = 5,912,959.79
  5. Step 5: Solve for x
    x = 5,912,959.79/2,846.80
  6. Step 6: Final answer
    x = 2,077.05

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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.