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Finding the Fourth Proportional to 2,268.40, 3,406.20 and 1,656.40

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Solution

The fourth proportional to 2,268.40, 3,406.20 and 1,656.40 is: 2,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.40 : 3,406.20 = 1,656.40 : x
  2. Step 2: Convert to fraction form
    2,268.40/3,406.20 = 1,656.40/x
  3. Step 3: Cross multiply
    2,268.40x = 3,406.20 × 1,656.40
  4. Step 4: Simplify right side
    2,268.40x = 5,642,029.68
  5. Step 5: Solve for x
    x = 5,642,029.68/2,268.40
  6. Step 6: Final answer
    x = 2,487.23

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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.