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Finding the Fourth Proportional to 2,128.24, 3,192.53 and 895.49

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Solution

The fourth proportional to 2,128.24, 3,192.53 and 895.49 is: 1,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.24 : 3,192.53 = 895.49 : x
  2. Step 2: Convert to fraction form
    2,128.24/3,192.53 = 895.49/x
  3. Step 3: Cross multiply
    2,128.24x = 3,192.53 × 895.49
  4. Step 4: Simplify right side
    2,128.24x = 2,858,878.69
  5. Step 5: Solve for x
    x = 2,858,878.69/2,128.24
  6. Step 6: Final answer
    x = 1,343.31

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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.