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Finding the Fourth Proportional to 3,085.69, 4,258.24 and 1,669.38

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Solution

The fourth proportional to 3,085.69, 4,258.24 and 1,669.38 is: 2,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.69 : 4,258.24 = 1,669.38 : x
  2. Step 2: Convert to fraction form
    3,085.69/4,258.24 = 1,669.38/x
  3. Step 3: Cross multiply
    3,085.69x = 4,258.24 × 1,669.38
  4. Step 4: Simplify right side
    3,085.69x = 7,108,610.05
  5. Step 5: Solve for x
    x = 7,108,610.05/3,085.69
  6. Step 6: Final answer
    x = 2,303.73

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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.