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Finding the Fourth Proportional to 2,049.92, 3,074.86 and 589.08

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Solution

The fourth proportional to 2,049.92, 3,074.86 and 589.08 is: 883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.92 : 3,074.86 = 589.08 : x
  2. Step 2: Convert to fraction form
    2,049.92/3,074.86 = 589.08/x
  3. Step 3: Cross multiply
    2,049.92x = 3,074.86 × 589.08
  4. Step 4: Simplify right side
    2,049.92x = 1,811,338.53
  5. Step 5: Solve for x
    x = 1,811,338.53/2,049.92
  6. Step 6: Final answer
    x = 883.61

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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.