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Finding the Fourth Proportional to 3,082.69, 4,623.46 and 1,002.08

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Solution

The fourth proportional to 3,082.69, 4,623.46 and 1,002.08 is: 1,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.69 : 4,623.46 = 1,002.08 : x
  2. Step 2: Convert to fraction form
    3,082.69/4,623.46 = 1,002.08/x
  3. Step 3: Cross multiply
    3,082.69x = 4,623.46 × 1,002.08
  4. Step 4: Simplify right side
    3,082.69x = 4,633,065.48
  5. Step 5: Solve for x
    x = 4,633,065.48/3,082.69
  6. Step 6: Final answer
    x = 1,502.93

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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.