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Finding the Fourth Proportional to 2,159.33, 3,239.25 and 772.81

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Solution

The fourth proportional to 2,159.33, 3,239.25 and 772.81 is: 1,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.33 : 3,239.25 = 772.81 : x
  2. Step 2: Convert to fraction form
    2,159.33/3,239.25 = 772.81/x
  3. Step 3: Cross multiply
    2,159.33x = 3,239.25 × 772.81
  4. Step 4: Simplify right side
    2,159.33x = 2,503,318.63
  5. Step 5: Solve for x
    x = 2,503,318.63/2,159.33
  6. Step 6: Final answer
    x = 1,159.31

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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.