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Finding the Fourth Proportional to 2,114.34, 3,171.32 and 653.34

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Solution

The fourth proportional to 2,114.34, 3,171.32 and 653.34 is: 979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.34 : 3,171.32 = 653.34 : x
  2. Step 2: Convert to fraction form
    2,114.34/3,171.32 = 653.34/x
  3. Step 3: Cross multiply
    2,114.34x = 3,171.32 × 653.34
  4. Step 4: Simplify right side
    2,114.34x = 2,071,961.28
  5. Step 5: Solve for x
    x = 2,071,961.28/2,114.34
  6. Step 6: Final answer
    x = 979.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.