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Finding the Fourth Proportional to 1,914.64, 2,642.33 and 1,286.22

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Solution

The fourth proportional to 1,914.64, 2,642.33 and 1,286.22 is: 1,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.64 : 2,642.33 = 1,286.22 : x
  2. Step 2: Convert to fraction form
    1,914.64/2,642.33 = 1,286.22/x
  3. Step 3: Cross multiply
    1,914.64x = 2,642.33 × 1,286.22
  4. Step 4: Simplify right side
    1,914.64x = 3,398,617.69
  5. Step 5: Solve for x
    x = 3,398,617.69/1,914.64
  6. Step 6: Final answer
    x = 1,775.07

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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.