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Finding the Fourth Proportional to 2,505.67, 3,458.12 and 1,457.73

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Solution

The fourth proportional to 2,505.67, 3,458.12 and 1,457.73 is: 2,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.67 : 3,458.12 = 1,457.73 : x
  2. Step 2: Convert to fraction form
    2,505.67/3,458.12 = 1,457.73/x
  3. Step 3: Cross multiply
    2,505.67x = 3,458.12 × 1,457.73
  4. Step 4: Simplify right side
    2,505.67x = 5,040,997.98
  5. Step 5: Solve for x
    x = 5,040,997.98/2,505.67
  6. Step 6: Final answer
    x = 2,011.84

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