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Finding the Fourth Proportional to 2,046.45, 3,063.60 and 2,046.45

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Solution

The fourth proportional to 2,046.45, 3,063.60 and 2,046.45 is: 3,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.45 : 3,063.60 = 2,046.45 : x
  2. Step 2: Convert to fraction form
    2,046.45/3,063.60 = 2,046.45/x
  3. Step 3: Cross multiply
    2,046.45x = 3,063.60 × 2,046.45
  4. Step 4: Simplify right side
    2,046.45x = 6,269,504.22
  5. Step 5: Solve for x
    x = 6,269,504.22/2,046.45
  6. Step 6: Final answer
    x = 3,063.60

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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.