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Finding the Fourth Proportional to 2,459.82, 3,689.72 and 998.96

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Solution

The fourth proportional to 2,459.82, 3,689.72 and 998.96 is: 1,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.82 : 3,689.72 = 998.96 : x
  2. Step 2: Convert to fraction form
    2,459.82/3,689.72 = 998.96/x
  3. Step 3: Cross multiply
    2,459.82x = 3,689.72 × 998.96
  4. Step 4: Simplify right side
    2,459.82x = 3,685,882.69
  5. Step 5: Solve for x
    x = 3,685,882.69/2,459.82
  6. Step 6: Final answer
    x = 1,498.44

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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.