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Finding the Fourth Proportional to 2,730.80, 3,768.50 and 1,488.80

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Solution

The fourth proportional to 2,730.80, 3,768.50 and 1,488.80 is: 2,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.80 : 3,768.50 = 1,488.80 : x
  2. Step 2: Convert to fraction form
    2,730.80/3,768.50 = 1,488.80/x
  3. Step 3: Cross multiply
    2,730.80x = 3,768.50 × 1,488.80
  4. Step 4: Simplify right side
    2,730.80x = 5,610,534.75
  5. Step 5: Solve for x
    x = 5,610,534.75/2,730.80
  6. Step 6: Final answer
    x = 2,054.54

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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.