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Finding the Fourth Proportional to 2,641.05, 3,962.63 and 998.07

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Solution

The fourth proportional to 2,641.05, 3,962.63 and 998.07 is: 1,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.05 : 3,962.63 = 998.07 : x
  2. Step 2: Convert to fraction form
    2,641.05/3,962.63 = 998.07/x
  3. Step 3: Cross multiply
    2,641.05x = 3,962.63 × 998.07
  4. Step 4: Simplify right side
    2,641.05x = 3,954,982.12
  5. Step 5: Solve for x
    x = 3,954,982.12/2,641.05
  6. Step 6: Final answer
    x = 1,497.50

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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.