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Finding the Fourth Proportional to 2,768.74, 4,153.83 and 1,126.42

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Solution

The fourth proportional to 2,768.74, 4,153.83 and 1,126.42 is: 1,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.74 : 4,153.83 = 1,126.42 : x
  2. Step 2: Convert to fraction form
    2,768.74/4,153.83 = 1,126.42/x
  3. Step 3: Cross multiply
    2,768.74x = 4,153.83 × 1,126.42
  4. Step 4: Simplify right side
    2,768.74x = 4,678,936.42
  5. Step 5: Solve for x
    x = 4,678,936.42/2,768.74
  6. Step 6: Final answer
    x = 1,689.92

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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.