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Finding the Fourth Proportional to 2,750.48, 3,795.60 and 1,571.38

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Solution

The fourth proportional to 2,750.48, 3,795.60 and 1,571.38 is: 2,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.48 : 3,795.60 = 1,571.38 : x
  2. Step 2: Convert to fraction form
    2,750.48/3,795.60 = 1,571.38/x
  3. Step 3: Cross multiply
    2,750.48x = 3,795.60 × 1,571.38
  4. Step 4: Simplify right side
    2,750.48x = 5,964,329.93
  5. Step 5: Solve for x
    x = 5,964,329.93/2,750.48
  6. Step 6: Final answer
    x = 2,168.47

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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.