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Finding the Fourth Proportional to 2,459.70, 3,690.90 and 998.73

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Solution

The fourth proportional to 2,459.70, 3,690.90 and 998.73 is: 1,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.70 : 3,690.90 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,459.70/3,690.90 = 998.73/x
  3. Step 3: Cross multiply
    2,459.70x = 3,690.90 × 998.73
  4. Step 4: Simplify right side
    2,459.70x = 3,686,212.56
  5. Step 5: Solve for x
    x = 3,686,212.56/2,459.70
  6. Step 6: Final answer
    x = 1,498.64

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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.