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Finding the Fourth Proportional to 2,724.75, 3,760.14 and 1,662.51

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Solution

The fourth proportional to 2,724.75, 3,760.14 and 1,662.51 is: 2,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.75 : 3,760.14 = 1,662.51 : x
  2. Step 2: Convert to fraction form
    2,724.75/3,760.14 = 1,662.51/x
  3. Step 3: Cross multiply
    2,724.75x = 3,760.14 × 1,662.51
  4. Step 4: Simplify right side
    2,724.75x = 6,251,270.35
  5. Step 5: Solve for x
    x = 6,251,270.35/2,724.75
  6. Step 6: Final answer
    x = 2,294.25

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1.5x scale

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.