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Finding the Fourth Proportional to 2,133.20, 2,940.36 and 1,845.20

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Solution

The fourth proportional to 2,133.20, 2,940.36 and 1,845.20 is: 2,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.20 : 2,940.36 = 1,845.20 : x
  2. Step 2: Convert to fraction form
    2,133.20/2,940.36 = 1,845.20/x
  3. Step 3: Cross multiply
    2,133.20x = 2,940.36 × 1,845.20
  4. Step 4: Simplify right side
    2,133.20x = 5,425,552.27
  5. Step 5: Solve for x
    x = 5,425,552.27/2,133.20
  6. Step 6: Final answer
    x = 2,543.39

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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.