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Finding the Fourth Proportional to 2,630.62, 3,944.77 and 986.01

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Solution

The fourth proportional to 2,630.62, 3,944.77 and 986.01 is: 1,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.62 : 3,944.77 = 986.01 : x
  2. Step 2: Convert to fraction form
    2,630.62/3,944.77 = 986.01/x
  3. Step 3: Cross multiply
    2,630.62x = 3,944.77 × 986.01
  4. Step 4: Simplify right side
    2,630.62x = 3,889,582.67
  5. Step 5: Solve for x
    x = 3,889,582.67/2,630.62
  6. Step 6: Final answer
    x = 1,478.58

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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.