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Finding the Fourth Proportional to 2,700.50, 4,047.08 and 1,724.44

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Solution

The fourth proportional to 2,700.50, 4,047.08 and 1,724.44 is: 2,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.50 : 4,047.08 = 1,724.44 : x
  2. Step 2: Convert to fraction form
    2,700.50/4,047.08 = 1,724.44/x
  3. Step 3: Cross multiply
    2,700.50x = 4,047.08 × 1,724.44
  4. Step 4: Simplify right side
    2,700.50x = 6,978,946.64
  5. Step 5: Solve for x
    x = 6,978,946.64/2,700.50
  6. Step 6: Final answer
    x = 2,584.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.