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Finding the Fourth Proportional to 3,082.53, 4,624.47 and 1,002.54

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Solution

The fourth proportional to 3,082.53, 4,624.47 and 1,002.54 is: 1,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.53 : 4,624.47 = 1,002.54 : x
  2. Step 2: Convert to fraction form
    3,082.53/4,624.47 = 1,002.54/x
  3. Step 3: Cross multiply
    3,082.53x = 4,624.47 × 1,002.54
  4. Step 4: Simplify right side
    3,082.53x = 4,636,216.15
  5. Step 5: Solve for x
    x = 4,636,216.15/3,082.53
  6. Step 6: Final answer
    x = 1,504.03

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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.