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Finding the Fourth Proportional to 1,568.18, 2,164.06 and 905.09

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Solution

The fourth proportional to 1,568.18, 2,164.06 and 905.09 is: 1,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.18 : 2,164.06 = 905.09 : x
  2. Step 2: Convert to fraction form
    1,568.18/2,164.06 = 905.09/x
  3. Step 3: Cross multiply
    1,568.18x = 2,164.06 × 905.09
  4. Step 4: Simplify right side
    1,568.18x = 1,958,669.07
  5. Step 5: Solve for x
    x = 1,958,669.07/1,568.18
  6. Step 6: Final answer
    x = 1,249.01

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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.