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Finding the Fourth Proportional to 2,128.50, 3,192.79 and 589.54

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Solution

The fourth proportional to 2,128.50, 3,192.79 and 589.54 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.50 : 3,192.79 = 589.54 : x
  2. Step 2: Convert to fraction form
    2,128.50/3,192.79 = 589.54/x
  3. Step 3: Cross multiply
    2,128.50x = 3,192.79 × 589.54
  4. Step 4: Simplify right side
    2,128.50x = 1,882,277.42
  5. Step 5: Solve for x
    x = 1,882,277.42/2,128.50
  6. Step 6: Final answer
    x = 884.32

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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.