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Finding the Fourth Proportional to 3,364.89, 4,647.45 and 2,244

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Solution

The fourth proportional to 3,364.89, 4,647.45 and 2,244 is: 3,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.89 : 4,647.45 = 2,244 : x
  2. Step 2: Convert to fraction form
    3,364.89/4,647.45 = 2,244/x
  3. Step 3: Cross multiply
    3,364.89x = 4,647.45 × 2,244
  4. Step 4: Simplify right side
    3,364.89x = 10,428,877.80
  5. Step 5: Solve for x
    x = 10,428,877.80/3,364.89
  6. Step 6: Final answer
    x = 3,099.32

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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.