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Finding the Fourth Proportional to 3,082.92, 4,628.67 and 1,582.99

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Solution

The fourth proportional to 3,082.92, 4,628.67 and 1,582.99 is: 2,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.92 : 4,628.67 = 1,582.99 : x
  2. Step 2: Convert to fraction form
    3,082.92/4,628.67 = 1,582.99/x
  3. Step 3: Cross multiply
    3,082.92x = 4,628.67 × 1,582.99
  4. Step 4: Simplify right side
    3,082.92x = 7,327,115.18
  5. Step 5: Solve for x
    x = 7,327,115.18/3,082.92
  6. Step 6: Final answer
    x = 2,376.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.