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Finding the Fourth Proportional to 1,568.35, 2,164.24 and 939.20

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Solution

The fourth proportional to 1,568.35, 2,164.24 and 939.20 is: 1,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.35 : 2,164.24 = 939.20 : x
  2. Step 2: Convert to fraction form
    1,568.35/2,164.24 = 939.20/x
  3. Step 3: Cross multiply
    1,568.35x = 2,164.24 × 939.20
  4. Step 4: Simplify right side
    1,568.35x = 2,032,651.45
  5. Step 5: Solve for x
    x = 2,032,651.45/1,568.35
  6. Step 6: Final answer
    x = 1,296.05

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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.