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Finding the Fourth Proportional to 2,730.44, 3,768.01 and 1,488.44

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Solution

The fourth proportional to 2,730.44, 3,768.01 and 1,488.44 is: 2,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.44 : 3,768.01 = 1,488.44 : x
  2. Step 2: Convert to fraction form
    2,730.44/3,768.01 = 1,488.44/x
  3. Step 3: Cross multiply
    2,730.44x = 3,768.01 × 1,488.44
  4. Step 4: Simplify right side
    2,730.44x = 5,608,443.66
  5. Step 5: Solve for x
    x = 5,608,443.66/2,730.44
  6. Step 6: Final answer
    x = 2,054.05

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Why These Related Problems?

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