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Finding the Fourth Proportional to 2,449.98, 3,675.29 and 806.63

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Solution

The fourth proportional to 2,449.98, 3,675.29 and 806.63 is: 1,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.98 : 3,675.29 = 806.63 : x
  2. Step 2: Convert to fraction form
    2,449.98/3,675.29 = 806.63/x
  3. Step 3: Cross multiply
    2,449.98x = 3,675.29 × 806.63
  4. Step 4: Simplify right side
    2,449.98x = 2,964,576.76
  5. Step 5: Solve for x
    x = 2,964,576.76/2,449.98
  6. Step 6: Final answer
    x = 1,210.04

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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.