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Finding the Fourth Proportional to 2,128.38, 3,192.57 and 589.38

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Solution

The fourth proportional to 2,128.38, 3,192.57 and 589.38 is: 884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.38 : 3,192.57 = 589.38 : x
  2. Step 2: Convert to fraction form
    2,128.38/3,192.57 = 589.38/x
  3. Step 3: Cross multiply
    2,128.38x = 3,192.57 × 589.38
  4. Step 4: Simplify right side
    2,128.38x = 1,881,636.91
  5. Step 5: Solve for x
    x = 1,881,636.91/2,128.38
  6. Step 6: Final answer
    x = 884.07

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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.