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Finding the Fourth Proportional to 2,730.50, 3,768.09 and 1,488.50

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Solution

The fourth proportional to 2,730.50, 3,768.09 and 1,488.50 is: 2,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.50 : 3,768.09 = 1,488.50 : x
  2. Step 2: Convert to fraction form
    2,730.50/3,768.09 = 1,488.50/x
  3. Step 3: Cross multiply
    2,730.50x = 3,768.09 × 1,488.50
  4. Step 4: Simplify right side
    2,730.50x = 5,608,801.97
  5. Step 5: Solve for x
    x = 5,608,801.97/2,730.50
  6. Step 6: Final answer
    x = 2,054.13

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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.