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Finding the Fourth Proportional to 4,582.82, 6,873.15 and 1,660.07

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Solution

The fourth proportional to 4,582.82, 6,873.15 and 1,660.07 is: 2,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.82 : 6,873.15 = 1,660.07 : x
  2. Step 2: Convert to fraction form
    4,582.82/6,873.15 = 1,660.07/x
  3. Step 3: Cross multiply
    4,582.82x = 6,873.15 × 1,660.07
  4. Step 4: Simplify right side
    4,582.82x = 11,409,910.12
  5. Step 5: Solve for x
    x = 11,409,910.12/4,582.82
  6. Step 6: Final answer
    x = 2,489.71

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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.