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Finding the Fourth Proportional to 2,450.52, 3,676.23 and 807.14

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Solution

The fourth proportional to 2,450.52, 3,676.23 and 807.14 is: 1,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.52 : 3,676.23 = 807.14 : x
  2. Step 2: Convert to fraction form
    2,450.52/3,676.23 = 807.14/x
  3. Step 3: Cross multiply
    2,450.52x = 3,676.23 × 807.14
  4. Step 4: Simplify right side
    2,450.52x = 2,967,213.90
  5. Step 5: Solve for x
    x = 2,967,213.90/2,450.52
  6. Step 6: Final answer
    x = 1,210.85

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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.