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Finding the Fourth Proportional to 1,768.43, 2,647.60 and 1,403.75

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Solution

The fourth proportional to 1,768.43, 2,647.60 and 1,403.75 is: 2,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.43 : 2,647.60 = 1,403.75 : x
  2. Step 2: Convert to fraction form
    1,768.43/2,647.60 = 1,403.75/x
  3. Step 3: Cross multiply
    1,768.43x = 2,647.60 × 1,403.75
  4. Step 4: Simplify right side
    1,768.43x = 3,716,568.50
  5. Step 5: Solve for x
    x = 3,716,568.50/1,768.43
  6. Step 6: Final answer
    x = 2,101.62

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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.