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Finding the Fourth Proportional to 4,269.78, 6,403.50 and 1,348.02

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Solution

The fourth proportional to 4,269.78, 6,403.50 and 1,348.02 is: 2,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.78 : 6,403.50 = 1,348.02 : x
  2. Step 2: Convert to fraction form
    4,269.78/6,403.50 = 1,348.02/x
  3. Step 3: Cross multiply
    4,269.78x = 6,403.50 × 1,348.02
  4. Step 4: Simplify right side
    4,269.78x = 8,632,046.07
  5. Step 5: Solve for x
    x = 8,632,046.07/4,269.78
  6. Step 6: Final answer
    x = 2,021.66

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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.