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Finding the Fourth Proportional to 1,661.48, 2,291.38 and 998.09

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Solution

The fourth proportional to 1,661.48, 2,291.38 and 998.09 is: 1,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.48 : 2,291.38 = 998.09 : x
  2. Step 2: Convert to fraction form
    1,661.48/2,291.38 = 998.09/x
  3. Step 3: Cross multiply
    1,661.48x = 2,291.38 × 998.09
  4. Step 4: Simplify right side
    1,661.48x = 2,287,003.46
  5. Step 5: Solve for x
    x = 2,287,003.46/1,661.48
  6. Step 6: Final answer
    x = 1,376.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.