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Finding the Fourth Proportional to 2,802.90, 3,868.32 and 1,684.20

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Solution

The fourth proportional to 2,802.90, 3,868.32 and 1,684.20 is: 2,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.90 : 3,868.32 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    2,802.90/3,868.32 = 1,684.20/x
  3. Step 3: Cross multiply
    2,802.90x = 3,868.32 × 1,684.20
  4. Step 4: Simplify right side
    2,802.90x = 6,515,024.54
  5. Step 5: Solve for x
    x = 6,515,024.54/2,802.90
  6. Step 6: Final answer
    x = 2,324.39

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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.