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Finding the Fourth Proportional to 2,802.87, 3,867.66 and 1,683.81

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Solution

The fourth proportional to 2,802.87, 3,867.66 and 1,683.81 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.87 : 3,867.66 = 1,683.81 : x
  2. Step 2: Convert to fraction form
    2,802.87/3,867.66 = 1,683.81/x
  3. Step 3: Cross multiply
    2,802.87x = 3,867.66 × 1,683.81
  4. Step 4: Simplify right side
    2,802.87x = 6,512,404.58
  5. Step 5: Solve for x
    x = 6,512,404.58/2,802.87
  6. Step 6: Final answer
    x = 2,323.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.