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Finding the Fourth Proportional to 2,034.96, 3,048 and 1,382.64

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Solution

The fourth proportional to 2,034.96, 3,048 and 1,382.64 is: 2,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.96 : 3,048 = 1,382.64 : x
  2. Step 2: Convert to fraction form
    2,034.96/3,048 = 1,382.64/x
  3. Step 3: Cross multiply
    2,034.96x = 3,048 × 1,382.64
  4. Step 4: Simplify right side
    2,034.96x = 4,214,286.72
  5. Step 5: Solve for x
    x = 4,214,286.72/2,034.96
  6. Step 6: Final answer
    x = 2,070.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.