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Finding the Fourth Proportional to 1,662.08, 2,493.57 and 1,356.80

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Solution

The fourth proportional to 1,662.08, 2,493.57 and 1,356.80 is: 2,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.08 : 2,493.57 = 1,356.80 : x
  2. Step 2: Convert to fraction form
    1,662.08/2,493.57 = 1,356.80/x
  3. Step 3: Cross multiply
    1,662.08x = 2,493.57 × 1,356.80
  4. Step 4: Simplify right side
    1,662.08x = 3,383,275.78
  5. Step 5: Solve for x
    x = 3,383,275.78/1,662.08
  6. Step 6: Final answer
    x = 2,035.57

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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.