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Finding the Fourth Proportional to 4,146.94, 6,220.36 and 1,225.27

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Solution

The fourth proportional to 4,146.94, 6,220.36 and 1,225.27 is: 1,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.94 : 6,220.36 = 1,225.27 : x
  2. Step 2: Convert to fraction form
    4,146.94/6,220.36 = 1,225.27/x
  3. Step 3: Cross multiply
    4,146.94x = 6,220.36 × 1,225.27
  4. Step 4: Simplify right side
    4,146.94x = 7,621,620.50
  5. Step 5: Solve for x
    x = 7,621,620.50/4,146.94
  6. Step 6: Final answer
    x = 1,837.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.