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Finding the Fourth Proportional to 2,768.93, 4,153.88 and 1,382.01

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Solution

The fourth proportional to 2,768.93, 4,153.88 and 1,382.01 is: 2,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.93 : 4,153.88 = 1,382.01 : x
  2. Step 2: Convert to fraction form
    2,768.93/4,153.88 = 1,382.01/x
  3. Step 3: Cross multiply
    2,768.93x = 4,153.88 × 1,382.01
  4. Step 4: Simplify right side
    2,768.93x = 5,740,714.94
  5. Step 5: Solve for x
    x = 5,740,714.94/2,768.93
  6. Step 6: Final answer
    x = 2,073.26

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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.