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Finding the Fourth Proportional to 3,343.44, 4,613.97 and 2,085.00

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Solution

The fourth proportional to 3,343.44, 4,613.97 and 2,085.00 is: 2,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.44 : 4,613.97 = 2,085.00 : x
  2. Step 2: Convert to fraction form
    3,343.44/4,613.97 = 2,085.00/x
  3. Step 3: Cross multiply
    3,343.44x = 4,613.97 × 2,085.00
  4. Step 4: Simplify right side
    3,343.44x = 9,620,104.38
  5. Step 5: Solve for x
    x = 9,620,104.38/3,343.44
  6. Step 6: Final answer
    x = 2,877.31

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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.