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Finding the Fourth Proportional to 2,114.37, 3,171.56 and 653.53

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Solution

The fourth proportional to 2,114.37, 3,171.56 and 653.53 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.37 : 3,171.56 = 653.53 : x
  2. Step 2: Convert to fraction form
    2,114.37/3,171.56 = 653.53/x
  3. Step 3: Cross multiply
    2,114.37x = 3,171.56 × 653.53
  4. Step 4: Simplify right side
    2,114.37x = 2,072,709.61
  5. Step 5: Solve for x
    x = 2,072,709.61/2,114.37
  6. Step 6: Final answer
    x = 980.30

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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.