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Finding the Fourth Proportional to 2,832.66, 3,910.14 and 1,653.75

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Solution

The fourth proportional to 2,832.66, 3,910.14 and 1,653.75 is: 2,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.66 : 3,910.14 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    2,832.66/3,910.14 = 1,653.75/x
  3. Step 3: Cross multiply
    2,832.66x = 3,910.14 × 1,653.75
  4. Step 4: Simplify right side
    2,832.66x = 6,466,394.03
  5. Step 5: Solve for x
    x = 6,466,394.03/2,832.66
  6. Step 6: Final answer
    x = 2,282.80

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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.