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Finding the Fourth Proportional to 1,542.47, 2,128.62 and 843.84

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Solution

The fourth proportional to 1,542.47, 2,128.62 and 843.84 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.47 : 2,128.62 = 843.84 : x
  2. Step 2: Convert to fraction form
    1,542.47/2,128.62 = 843.84/x
  3. Step 3: Cross multiply
    1,542.47x = 2,128.62 × 843.84
  4. Step 4: Simplify right side
    1,542.47x = 1,796,214.70
  5. Step 5: Solve for x
    x = 1,796,214.70/1,542.47
  6. Step 6: Final answer
    x = 1,164.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.