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Finding the Fourth Proportional to 2,724.76, 3,762.28 and 2,094.29

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Solution

The fourth proportional to 2,724.76, 3,762.28 and 2,094.29 is: 2,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.76 : 3,762.28 = 2,094.29 : x
  2. Step 2: Convert to fraction form
    2,724.76/3,762.28 = 2,094.29/x
  3. Step 3: Cross multiply
    2,724.76x = 3,762.28 × 2,094.29
  4. Step 4: Simplify right side
    2,724.76x = 7,879,305.38
  5. Step 5: Solve for x
    x = 7,879,305.38/2,724.76
  6. Step 6: Final answer
    x = 2,891.74

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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.