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Finding the Fourth Proportional to 2,762.94, 3,813.30 and 1,584.12

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Solution

The fourth proportional to 2,762.94, 3,813.30 and 1,584.12 is: 2,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.94 : 3,813.30 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    2,762.94/3,813.30 = 1,584.12/x
  3. Step 3: Cross multiply
    2,762.94x = 3,813.30 × 1,584.12
  4. Step 4: Simplify right side
    2,762.94x = 6,040,724.80
  5. Step 5: Solve for x
    x = 6,040,724.80/2,762.94
  6. Step 6: Final answer
    x = 2,186.34

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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.