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Finding the Fourth Proportional to 2,998.41, 4,497.80 and 918.56

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Solution

The fourth proportional to 2,998.41, 4,497.80 and 918.56 is: 1,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.41 : 4,497.80 = 918.56 : x
  2. Step 2: Convert to fraction form
    2,998.41/4,497.80 = 918.56/x
  3. Step 3: Cross multiply
    2,998.41x = 4,497.80 × 918.56
  4. Step 4: Simplify right side
    2,998.41x = 4,131,472.09
  5. Step 5: Solve for x
    x = 4,131,472.09/2,998.41
  6. Step 6: Final answer
    x = 1,377.89

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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.