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Finding the Fourth Proportional to 3,329.81, 4,596.80 and 2,071.27

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Solution

The fourth proportional to 3,329.81, 4,596.80 and 2,071.27 is: 2,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.81 : 4,596.80 = 2,071.27 : x
  2. Step 2: Convert to fraction form
    3,329.81/4,596.80 = 2,071.27/x
  3. Step 3: Cross multiply
    3,329.81x = 4,596.80 × 2,071.27
  4. Step 4: Simplify right side
    3,329.81x = 9,521,220.98
  5. Step 5: Solve for x
    x = 9,521,220.98/3,329.81
  6. Step 6: Final answer
    x = 2,859.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.