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Finding the Fourth Proportional to 3,280.56, 4,920.89 and 1,828.94

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Solution

The fourth proportional to 3,280.56, 4,920.89 and 1,828.94 is: 2,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.56 : 4,920.89 = 1,828.94 : x
  2. Step 2: Convert to fraction form
    3,280.56/4,920.89 = 1,828.94/x
  3. Step 3: Cross multiply
    3,280.56x = 4,920.89 × 1,828.94
  4. Step 4: Simplify right side
    3,280.56x = 9,000,012.56
  5. Step 5: Solve for x
    x = 9,000,012.56/3,280.56
  6. Step 6: Final answer
    x = 2,743.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.