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Finding the Fourth Proportional to 2,832.90, 3,908.88 and 1,654.08

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Solution

The fourth proportional to 2,832.90, 3,908.88 and 1,654.08 is: 2,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.90 : 3,908.88 = 1,654.08 : x
  2. Step 2: Convert to fraction form
    2,832.90/3,908.88 = 1,654.08/x
  3. Step 3: Cross multiply
    2,832.90x = 3,908.88 × 1,654.08
  4. Step 4: Simplify right side
    2,832.90x = 6,465,600.23
  5. Step 5: Solve for x
    x = 6,465,600.23/2,832.90
  6. Step 6: Final answer
    x = 2,282.33

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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.