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Finding the Fourth Proportional to 3,100.02, 4,278.03 and 1,683.68

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Solution

The fourth proportional to 3,100.02, 4,278.03 and 1,683.68 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.02 : 4,278.03 = 1,683.68 : x
  2. Step 2: Convert to fraction form
    3,100.02/4,278.03 = 1,683.68/x
  3. Step 3: Cross multiply
    3,100.02x = 4,278.03 × 1,683.68
  4. Step 4: Simplify right side
    3,100.02x = 7,202,833.55
  5. Step 5: Solve for x
    x = 7,202,833.55/3,100.02
  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.