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Finding the Fourth Proportional to 2,699.42, 4,046.72 and 1,382.43

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Solution

The fourth proportional to 2,699.42, 4,046.72 and 1,382.43 is: 2,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.42 : 4,046.72 = 1,382.43 : x
  2. Step 2: Convert to fraction form
    2,699.42/4,046.72 = 1,382.43/x
  3. Step 3: Cross multiply
    2,699.42x = 4,046.72 × 1,382.43
  4. Step 4: Simplify right side
    2,699.42x = 5,594,300.22
  5. Step 5: Solve for x
    x = 5,594,300.22/2,699.42
  6. Step 6: Final answer
    x = 2,072.41

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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.