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Finding the Fourth Proportional to 1,673.28, 2,503.44 and 1,362.24

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Solution

The fourth proportional to 1,673.28, 2,503.44 and 1,362.24 is: 2,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.28 : 2,503.44 = 1,362.24 : x
  2. Step 2: Convert to fraction form
    1,673.28/2,503.44 = 1,362.24/x
  3. Step 3: Cross multiply
    1,673.28x = 2,503.44 × 1,362.24
  4. Step 4: Simplify right side
    1,673.28x = 3,410,286.11
  5. Step 5: Solve for x
    x = 3,410,286.11/1,673.28
  6. Step 6: Final answer
    x = 2,038.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.