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Finding the Fourth Proportional to 2,833.29, 3,908.66 and 1,653.75

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Solution

The fourth proportional to 2,833.29, 3,908.66 and 1,653.75 is: 2,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.29 : 3,908.66 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    2,833.29/3,908.66 = 1,653.75/x
  3. Step 3: Cross multiply
    2,833.29x = 3,908.66 × 1,653.75
  4. Step 4: Simplify right side
    2,833.29x = 6,463,938.21
  5. Step 5: Solve for x
    x = 6,463,938.21/2,833.29
  6. Step 6: Final answer
    x = 2,281.42

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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.