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Finding the Fourth Proportional to 3,094.48, 4,270.74 and 1,768.38

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Solution

The fourth proportional to 3,094.48, 4,270.74 and 1,768.38 is: 2,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.48 : 4,270.74 = 1,768.38 : x
  2. Step 2: Convert to fraction form
    3,094.48/4,270.74 = 1,768.38/x
  3. Step 3: Cross multiply
    3,094.48x = 4,270.74 × 1,768.38
  4. Step 4: Simplify right side
    3,094.48x = 7,552,291.20
  5. Step 5: Solve for x
    x = 7,552,291.20/3,094.48
  6. Step 6: Final answer
    x = 2,440.57

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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.