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Finding the Fourth Proportional to 3,002.73, 4,500.83 and 1,026.53

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Solution

The fourth proportional to 3,002.73, 4,500.83 and 1,026.53 is: 1,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.73 : 4,500.83 = 1,026.53 : x
  2. Step 2: Convert to fraction form
    3,002.73/4,500.83 = 1,026.53/x
  3. Step 3: Cross multiply
    3,002.73x = 4,500.83 × 1,026.53
  4. Step 4: Simplify right side
    3,002.73x = 4,620,243.14
  5. Step 5: Solve for x
    x = 4,620,243.14/3,002.73
  6. Step 6: Final answer
    x = 1,538.68

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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.