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Finding the Fourth Proportional to 2,700, 4,027.44 and 2,655.36

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Solution

The fourth proportional to 2,700, 4,027.44 and 2,655.36 is: 3,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 4,027.44 = 2,655.36 : x
  2. Step 2: Convert to fraction form
    2,700/4,027.44 = 2,655.36/x
  3. Step 3: Cross multiply
    2,700x = 4,027.44 × 2,655.36
  4. Step 4: Simplify right side
    2,700x = 10,694,303.08
  5. Step 5: Solve for x
    x = 10,694,303.08/2,700
  6. Step 6: Final answer
    x = 3,960.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.