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Finding the Fourth Proportional to 2,842.30, 3,922.86 and 1,664.02

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Solution

The fourth proportional to 2,842.30, 3,922.86 and 1,664.02 is: 2,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.30 : 3,922.86 = 1,664.02 : x
  2. Step 2: Convert to fraction form
    2,842.30/3,922.86 = 1,664.02/x
  3. Step 3: Cross multiply
    2,842.30x = 3,922.86 × 1,664.02
  4. Step 4: Simplify right side
    2,842.30x = 6,527,717.50
  5. Step 5: Solve for x
    x = 6,527,717.50/2,842.30
  6. Step 6: Final answer
    x = 2,296.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.