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Finding the Fourth Proportional to 2,208.22, 3,312.85 and 648.25

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Solution

The fourth proportional to 2,208.22, 3,312.85 and 648.25 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.22 : 3,312.85 = 648.25 : x
  2. Step 2: Convert to fraction form
    2,208.22/3,312.85 = 648.25/x
  3. Step 3: Cross multiply
    2,208.22x = 3,312.85 × 648.25
  4. Step 4: Simplify right side
    2,208.22x = 2,147,555.01
  5. Step 5: Solve for x
    x = 2,147,555.01/2,208.22
  6. Step 6: Final answer
    x = 972.53

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