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Finding the Fourth Proportional to 2,128.49, 3,192.74 and 589.49

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Solution

The fourth proportional to 2,128.49, 3,192.74 and 589.49 is: 884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.49 : 3,192.74 = 589.49 : x
  2. Step 2: Convert to fraction form
    2,128.49/3,192.74 = 589.49/x
  3. Step 3: Cross multiply
    2,128.49x = 3,192.74 × 589.49
  4. Step 4: Simplify right side
    2,128.49x = 1,882,096.28
  5. Step 5: Solve for x
    x = 1,882,096.28/2,128.49
  6. Step 6: Final answer
    x = 884.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.