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Finding the Fourth Proportional to 2,114.10, 3,171.56 and 653.27

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Solution

The fourth proportional to 2,114.10, 3,171.56 and 653.27 is: 980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.10 : 3,171.56 = 653.27 : x
  2. Step 2: Convert to fraction form
    2,114.10/3,171.56 = 653.27/x
  3. Step 3: Cross multiply
    2,114.10x = 3,171.56 × 653.27
  4. Step 4: Simplify right side
    2,114.10x = 2,071,865.88
  5. Step 5: Solve for x
    x = 2,071,865.88/2,114.10
  6. Step 6: Final answer
    x = 980.02

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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.