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Finding the Fourth Proportional to 4,469.08, 6,701.43 and 1,348.50

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Solution

The fourth proportional to 4,469.08, 6,701.43 and 1,348.50 is: 2,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.08 : 6,701.43 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    4,469.08/6,701.43 = 1,348.50/x
  3. Step 3: Cross multiply
    4,469.08x = 6,701.43 × 1,348.50
  4. Step 4: Simplify right side
    4,469.08x = 9,036,878.36
  5. Step 5: Solve for x
    x = 9,036,878.36/4,469.08
  6. Step 6: Final answer
    x = 2,022.09

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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.