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Finding the Fourth Proportional to 1,661.33, 2,496.56 and 1,552.97

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Solution

The fourth proportional to 1,661.33, 2,496.56 and 1,552.97 is: 2,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.33 : 2,496.56 = 1,552.97 : x
  2. Step 2: Convert to fraction form
    1,661.33/2,496.56 = 1,552.97/x
  3. Step 3: Cross multiply
    1,661.33x = 2,496.56 × 1,552.97
  4. Step 4: Simplify right side
    1,661.33x = 3,877,081.26
  5. Step 5: Solve for x
    x = 3,877,081.26/1,661.33
  6. Step 6: Final answer
    x = 2,333.73

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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.