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Finding the Fourth Proportional to 2,273.84, 3,412.06 and 957.49

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Solution

The fourth proportional to 2,273.84, 3,412.06 and 957.49 is: 1,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.84 : 3,412.06 = 957.49 : x
  2. Step 2: Convert to fraction form
    2,273.84/3,412.06 = 957.49/x
  3. Step 3: Cross multiply
    2,273.84x = 3,412.06 × 957.49
  4. Step 4: Simplify right side
    2,273.84x = 3,266,998.66
  5. Step 5: Solve for x
    x = 3,266,998.66/2,273.84
  6. Step 6: Final answer
    x = 1,436.78

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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.