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Finding the Fourth Proportional to 2,983.65, 4,464.23 and 2,680.50

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Solution

The fourth proportional to 2,983.65, 4,464.23 and 2,680.50 is: 4,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.65 : 4,464.23 = 2,680.50 : x
  2. Step 2: Convert to fraction form
    2,983.65/4,464.23 = 2,680.50/x
  3. Step 3: Cross multiply
    2,983.65x = 4,464.23 × 2,680.50
  4. Step 4: Simplify right side
    2,983.65x = 11,966,371.85
  5. Step 5: Solve for x
    x = 11,966,371.85/2,983.65
  6. Step 6: Final answer
    x = 4,010.65

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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.