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Finding the Fourth Proportional to 3,027.40, 4,178.03 and 1,683.18

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Solution

The fourth proportional to 3,027.40, 4,178.03 and 1,683.18 is: 2,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.40 : 4,178.03 = 1,683.18 : x
  2. Step 2: Convert to fraction form
    3,027.40/4,178.03 = 1,683.18/x
  3. Step 3: Cross multiply
    3,027.40x = 4,178.03 × 1,683.18
  4. Step 4: Simplify right side
    3,027.40x = 7,032,376.54
  5. Step 5: Solve for x
    x = 7,032,376.54/3,027.40
  6. Step 6: Final answer
    x = 2,322.91

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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.