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Finding the Fourth Proportional to 2,802.76, 3,869.36 and 1,683.97

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Solution

The fourth proportional to 2,802.76, 3,869.36 and 1,683.97 is: 2,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.76 : 3,869.36 = 1,683.97 : x
  2. Step 2: Convert to fraction form
    2,802.76/3,869.36 = 1,683.97/x
  3. Step 3: Cross multiply
    2,802.76x = 3,869.36 × 1,683.97
  4. Step 4: Simplify right side
    2,802.76x = 6,515,877.11
  5. Step 5: Solve for x
    x = 6,515,877.11/2,802.76
  6. Step 6: Final answer
    x = 2,324.81

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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.