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Finding the Fourth Proportional to 1,368.28, 1,889.94 and 1,202.68

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Solution

The fourth proportional to 1,368.28, 1,889.94 and 1,202.68 is: 1,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.28 : 1,889.94 = 1,202.68 : x
  2. Step 2: Convert to fraction form
    1,368.28/1,889.94 = 1,202.68/x
  3. Step 3: Cross multiply
    1,368.28x = 1,889.94 × 1,202.68
  4. Step 4: Simplify right side
    1,368.28x = 2,272,993.04
  5. Step 5: Solve for x
    x = 2,272,993.04/1,368.28
  6. Step 6: Final answer
    x = 1,661.20

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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.