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Finding the Fourth Proportional to 2,268.04, 3,402.78 and 1,720.84

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Solution

The fourth proportional to 2,268.04, 3,402.78 and 1,720.84 is: 2,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.04 : 3,402.78 = 1,720.84 : x
  2. Step 2: Convert to fraction form
    2,268.04/3,402.78 = 1,720.84/x
  3. Step 3: Cross multiply
    2,268.04x = 3,402.78 × 1,720.84
  4. Step 4: Simplify right side
    2,268.04x = 5,855,639.94
  5. Step 5: Solve for x
    x = 5,855,639.94/2,268.04
  6. Step 6: Final answer
    x = 2,581.81

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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.