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Finding the Fourth Proportional to 2,832.76, 3,909.17 and 1,653.83

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Solution

The fourth proportional to 2,832.76, 3,909.17 and 1,653.83 is: 2,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.76 : 3,909.17 = 1,653.83 : x
  2. Step 2: Convert to fraction form
    2,832.76/3,909.17 = 1,653.83/x
  3. Step 3: Cross multiply
    2,832.76x = 3,909.17 × 1,653.83
  4. Step 4: Simplify right side
    2,832.76x = 6,465,101.87
  5. Step 5: Solve for x
    x = 6,465,101.87/2,832.76
  6. Step 6: Final answer
    x = 2,282.26

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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.