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Finding the Fourth Proportional to 2,149.84, 3,222.33 and 918.28

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Solution

The fourth proportional to 2,149.84, 3,222.33 and 918.28 is: 1,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.84 : 3,222.33 = 918.28 : x
  2. Step 2: Convert to fraction form
    2,149.84/3,222.33 = 918.28/x
  3. Step 3: Cross multiply
    2,149.84x = 3,222.33 × 918.28
  4. Step 4: Simplify right side
    2,149.84x = 2,959,001.19
  5. Step 5: Solve for x
    x = 2,959,001.19/2,149.84
  6. Step 6: Final answer
    x = 1,376.38

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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.