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Finding the Fourth Proportional to 2,730.78, 3,768.42 and 1,488.78

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Solution

The fourth proportional to 2,730.78, 3,768.42 and 1,488.78 is: 2,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.78 : 3,768.42 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    2,730.78/3,768.42 = 1,488.78/x
  3. Step 3: Cross multiply
    2,730.78x = 3,768.42 × 1,488.78
  4. Step 4: Simplify right side
    2,730.78x = 5,610,348.33
  5. Step 5: Solve for x
    x = 5,610,348.33/2,730.78
  6. Step 6: Final answer
    x = 2,054.49

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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.