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Finding the Fourth Proportional to 1,568.62, 2,164.08 and 1,096.39

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Solution

The fourth proportional to 1,568.62, 2,164.08 and 1,096.39 is: 1,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.62 : 2,164.08 = 1,096.39 : x
  2. Step 2: Convert to fraction form
    1,568.62/2,164.08 = 1,096.39/x
  3. Step 3: Cross multiply
    1,568.62x = 2,164.08 × 1,096.39
  4. Step 4: Simplify right side
    1,568.62x = 2,372,675.67
  5. Step 5: Solve for x
    x = 2,372,675.67/1,568.62
  6. Step 6: Final answer
    x = 1,512.59

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Why These Related Problems?

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