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Finding the Fourth Proportional to 4,269.74, 6,405.74 and 1,348.10

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Solution

The fourth proportional to 4,269.74, 6,405.74 and 1,348.10 is: 2,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.74 : 6,405.74 = 1,348.10 : x
  2. Step 2: Convert to fraction form
    4,269.74/6,405.74 = 1,348.10/x
  3. Step 3: Cross multiply
    4,269.74x = 6,405.74 × 1,348.10
  4. Step 4: Simplify right side
    4,269.74x = 8,635,578.09
  5. Step 5: Solve for x
    x = 8,635,578.09/4,269.74
  6. Step 6: Final answer
    x = 2,022.51

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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.