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Finding the Fourth Proportional to 3,082.89, 4,624.62 and 1,002.81

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Solution

The fourth proportional to 3,082.89, 4,624.62 and 1,002.81 is: 1,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.89 : 4,624.62 = 1,002.81 : x
  2. Step 2: Convert to fraction form
    3,082.89/4,624.62 = 1,002.81/x
  3. Step 3: Cross multiply
    3,082.89x = 4,624.62 × 1,002.81
  4. Step 4: Simplify right side
    3,082.89x = 4,637,615.18
  5. Step 5: Solve for x
    x = 4,637,615.18/3,082.89
  6. Step 6: Final answer
    x = 1,504.31

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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.