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Finding the Fourth Proportional to 1,596.85, 2,395.49 and 671.83

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Solution

The fourth proportional to 1,596.85, 2,395.49 and 671.83 is: 1,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.85 : 2,395.49 = 671.83 : x
  2. Step 2: Convert to fraction form
    1,596.85/2,395.49 = 671.83/x
  3. Step 3: Cross multiply
    1,596.85x = 2,395.49 × 671.83
  4. Step 4: Simplify right side
    1,596.85x = 1,609,351.75
  5. Step 5: Solve for x
    x = 1,609,351.75/1,596.85
  6. Step 6: Final answer
    x = 1,007.83

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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.