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Finding the Fourth Proportional to 2,967.23, 4,094.97 and 1,848.22

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Solution

The fourth proportional to 2,967.23, 4,094.97 and 1,848.22 is: 2,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.23 : 4,094.97 = 1,848.22 : x
  2. Step 2: Convert to fraction form
    2,967.23/4,094.97 = 1,848.22/x
  3. Step 3: Cross multiply
    2,967.23x = 4,094.97 × 1,848.22
  4. Step 4: Simplify right side
    2,967.23x = 7,568,405.45
  5. Step 5: Solve for x
    x = 7,568,405.45/2,967.23
  6. Step 6: Final answer
    x = 2,550.66

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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.