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Finding the Fourth Proportional to 2,762.94, 3,812.94 and 1,584.23

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Solution

The fourth proportional to 2,762.94, 3,812.94 and 1,584.23 is: 2,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.94 : 3,812.94 = 1,584.23 : x
  2. Step 2: Convert to fraction form
    2,762.94/3,812.94 = 1,584.23/x
  3. Step 3: Cross multiply
    2,762.94x = 3,812.94 × 1,584.23
  4. Step 4: Simplify right side
    2,762.94x = 6,040,573.94
  5. Step 5: Solve for x
    x = 6,040,573.94/2,762.94
  6. Step 6: Final answer
    x = 2,186.28

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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.