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Finding the Fourth Proportional to 4,269.68, 6,403.97 and 1,348.28

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Solution

The fourth proportional to 4,269.68, 6,403.97 and 1,348.28 is: 2,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.68 : 6,403.97 = 1,348.28 : x
  2. Step 2: Convert to fraction form
    4,269.68/6,403.97 = 1,348.28/x
  3. Step 3: Cross multiply
    4,269.68x = 6,403.97 × 1,348.28
  4. Step 4: Simplify right side
    4,269.68x = 8,634,316.02
  5. Step 5: Solve for x
    x = 8,634,316.02/4,269.68
  6. Step 6: Final answer
    x = 2,022.24

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