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Finding the Fourth Proportional to 1,662.56, 2,291.56 and 1,426.75

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Solution

The fourth proportional to 1,662.56, 2,291.56 and 1,426.75 is: 1,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.56 : 2,291.56 = 1,426.75 : x
  2. Step 2: Convert to fraction form
    1,662.56/2,291.56 = 1,426.75/x
  3. Step 3: Cross multiply
    1,662.56x = 2,291.56 × 1,426.75
  4. Step 4: Simplify right side
    1,662.56x = 3,269,473.93
  5. Step 5: Solve for x
    x = 3,269,473.93/1,662.56
  6. Step 6: Final answer
    x = 1,966.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.