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Finding the Fourth Proportional to 1,493.67, 2,257.43 and 1,477.26

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Solution

The fourth proportional to 1,493.67, 2,257.43 and 1,477.26 is: 2,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.67 : 2,257.43 = 1,477.26 : x
  2. Step 2: Convert to fraction form
    1,493.67/2,257.43 = 1,477.26/x
  3. Step 3: Cross multiply
    1,493.67x = 2,257.43 × 1,477.26
  4. Step 4: Simplify right side
    1,493.67x = 3,334,814.73
  5. Step 5: Solve for x
    x = 3,334,814.73/1,493.67
  6. Step 6: Final answer
    x = 2,232.63

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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.