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Finding the Fourth Proportional to 2,138.81, 3,208.63 and 984.56

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Solution

The fourth proportional to 2,138.81, 3,208.63 and 984.56 is: 1,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.81 : 3,208.63 = 984.56 : x
  2. Step 2: Convert to fraction form
    2,138.81/3,208.63 = 984.56/x
  3. Step 3: Cross multiply
    2,138.81x = 3,208.63 × 984.56
  4. Step 4: Simplify right side
    2,138.81x = 3,159,094.31
  5. Step 5: Solve for x
    x = 3,159,094.31/2,138.81
  6. Step 6: Final answer
    x = 1,477.03

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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.