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Finding the Fourth Proportional to 2,068.07, 2,853.04 and 1,183.55

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Solution

The fourth proportional to 2,068.07, 2,853.04 and 1,183.55 is: 1,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.07 : 2,853.04 = 1,183.55 : x
  2. Step 2: Convert to fraction form
    2,068.07/2,853.04 = 1,183.55/x
  3. Step 3: Cross multiply
    2,068.07x = 2,853.04 × 1,183.55
  4. Step 4: Simplify right side
    2,068.07x = 3,376,715.49
  5. Step 5: Solve for x
    x = 3,376,715.49/2,068.07
  6. Step 6: Final answer
    x = 1,632.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.