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Finding the Fourth Proportional to 2,760, 3,816 and 2,637.60

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Solution

The fourth proportional to 2,760, 3,816 and 2,637.60 is: 3,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760 : 3,816 = 2,637.60 : x
  2. Step 2: Convert to fraction form
    2,760/3,816 = 2,637.60/x
  3. Step 3: Cross multiply
    2,760x = 3,816 × 2,637.60
  4. Step 4: Simplify right side
    2,760x = 10,065,081.60
  5. Step 5: Solve for x
    x = 10,065,081.60/2,760
  6. Step 6: Final answer
    x = 3,646.77

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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.