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Finding the Fourth Proportional to 2,208.44, 3,312.64 and 564.97

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Solution

The fourth proportional to 2,208.44, 3,312.64 and 564.97 is: 847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.44 : 3,312.64 = 564.97 : x
  2. Step 2: Convert to fraction form
    2,208.44/3,312.64 = 564.97/x
  3. Step 3: Cross multiply
    2,208.44x = 3,312.64 × 564.97
  4. Step 4: Simplify right side
    2,208.44x = 1,871,542.22
  5. Step 5: Solve for x
    x = 1,871,542.22/2,208.44
  6. Step 6: Final answer
    x = 847.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.