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Finding the Fourth Proportional to 2,357.27, 3,535.89 and 896.42

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Solution

The fourth proportional to 2,357.27, 3,535.89 and 896.42 is: 1,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.27 : 3,535.89 = 896.42 : x
  2. Step 2: Convert to fraction form
    2,357.27/3,535.89 = 896.42/x
  3. Step 3: Cross multiply
    2,357.27x = 3,535.89 × 896.42
  4. Step 4: Simplify right side
    2,357.27x = 3,169,647.99
  5. Step 5: Solve for x
    x = 3,169,647.99/2,357.27
  6. Step 6: Final answer
    x = 1,344.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.