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Finding the Fourth Proportional to 2,208.29, 3,312.33 and 648.23

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Solution

The fourth proportional to 2,208.29, 3,312.33 and 648.23 is: 972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.29 : 3,312.33 = 648.23 : x
  2. Step 2: Convert to fraction form
    2,208.29/3,312.33 = 648.23/x
  3. Step 3: Cross multiply
    2,208.29x = 3,312.33 × 648.23
  4. Step 4: Simplify right side
    2,208.29x = 2,147,132.68
  5. Step 5: Solve for x
    x = 2,147,132.68/2,208.29
  6. Step 6: Final answer
    x = 972.31

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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.