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Finding the Fourth Proportional to 2,453.44, 3,693.24 and 2,114.32

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Solution

The fourth proportional to 2,453.44, 3,693.24 and 2,114.32 is: 3,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.44 : 3,693.24 = 2,114.32 : x
  2. Step 2: Convert to fraction form
    2,453.44/3,693.24 = 2,114.32/x
  3. Step 3: Cross multiply
    2,453.44x = 3,693.24 × 2,114.32
  4. Step 4: Simplify right side
    2,453.44x = 7,808,691.20
  5. Step 5: Solve for x
    x = 7,808,691.20/2,453.44
  6. Step 6: Final answer
    x = 3,182.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.