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Finding the Fourth Proportional to 2,357.62, 3,535.68 and 818.26

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Solution

The fourth proportional to 2,357.62, 3,535.68 and 818.26 is: 1,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.62 : 3,535.68 = 818.26 : x
  2. Step 2: Convert to fraction form
    2,357.62/3,535.68 = 818.26/x
  3. Step 3: Cross multiply
    2,357.62x = 3,535.68 × 818.26
  4. Step 4: Simplify right side
    2,357.62x = 2,893,105.52
  5. Step 5: Solve for x
    x = 2,893,105.52/2,357.62
  6. Step 6: Final answer
    x = 1,227.13

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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.