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Finding the Fourth Proportional to 3,094.96, 4,270.82 and 1,835.96

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Solution

The fourth proportional to 3,094.96, 4,270.82 and 1,835.96 is: 2,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.96 : 4,270.82 = 1,835.96 : x
  2. Step 2: Convert to fraction form
    3,094.96/4,270.82 = 1,835.96/x
  3. Step 3: Cross multiply
    3,094.96x = 4,270.82 × 1,835.96
  4. Step 4: Simplify right side
    3,094.96x = 7,841,054.69
  5. Step 5: Solve for x
    x = 7,841,054.69/3,094.96
  6. Step 6: Final answer
    x = 2,533.49

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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.