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Finding the Fourth Proportional to 2,727.61, 3,762.96 and 1,679.06

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Solution

The fourth proportional to 2,727.61, 3,762.96 and 1,679.06 is: 2,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.61 : 3,762.96 = 1,679.06 : x
  2. Step 2: Convert to fraction form
    2,727.61/3,762.96 = 1,679.06/x
  3. Step 3: Cross multiply
    2,727.61x = 3,762.96 × 1,679.06
  4. Step 4: Simplify right side
    2,727.61x = 6,318,238.73
  5. Step 5: Solve for x
    x = 6,318,238.73/2,727.61
  6. Step 6: Final answer
    x = 2,316.40

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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.