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Finding the Fourth Proportional to 1,568.62, 2,164.50 and 939.01

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Solution

The fourth proportional to 1,568.62, 2,164.50 and 939.01 is: 1,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.62 : 2,164.50 = 939.01 : x
  2. Step 2: Convert to fraction form
    1,568.62/2,164.50 = 939.01/x
  3. Step 3: Cross multiply
    1,568.62x = 2,164.50 × 939.01
  4. Step 4: Simplify right side
    1,568.62x = 2,032,487.15
  5. Step 5: Solve for x
    x = 2,032,487.15/1,568.62
  6. Step 6: Final answer
    x = 1,295.72

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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.