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Finding the Fourth Proportional to 2,802.96, 3,868.38 and 1,684.26

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Solution

The fourth proportional to 2,802.96, 3,868.38 and 1,684.26 is: 2,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.96 : 3,868.38 = 1,684.26 : x
  2. Step 2: Convert to fraction form
    2,802.96/3,868.38 = 1,684.26/x
  3. Step 3: Cross multiply
    2,802.96x = 3,868.38 × 1,684.26
  4. Step 4: Simplify right side
    2,802.96x = 6,515,357.70
  5. Step 5: Solve for x
    x = 6,515,357.70/2,802.96
  6. Step 6: Final answer
    x = 2,324.46

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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.