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Finding the Fourth Proportional to 2,135.69, 3,204.07 and 596.69

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Solution

The fourth proportional to 2,135.69, 3,204.07 and 596.69 is: 895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.69 : 3,204.07 = 596.69 : x
  2. Step 2: Convert to fraction form
    2,135.69/3,204.07 = 596.69/x
  3. Step 3: Cross multiply
    2,135.69x = 3,204.07 × 596.69
  4. Step 4: Simplify right side
    2,135.69x = 1,911,836.53
  5. Step 5: Solve for x
    x = 1,911,836.53/2,135.69
  6. Step 6: Final answer
    x = 895.18

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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.