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Finding the Fourth Proportional to 2,958.54, 4,438.14 and 984.34

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Solution

The fourth proportional to 2,958.54, 4,438.14 and 984.34 is: 1,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.54 : 4,438.14 = 984.34 : x
  2. Step 2: Convert to fraction form
    2,958.54/4,438.14 = 984.34/x
  3. Step 3: Cross multiply
    2,958.54x = 4,438.14 × 984.34
  4. Step 4: Simplify right side
    2,958.54x = 4,368,638.73
  5. Step 5: Solve for x
    x = 4,368,638.73/2,958.54
  6. Step 6: Final answer
    x = 1,476.62

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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.