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Finding the Fourth Proportional to 2,323.98, 3,207.32 and 1,329.34

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Solution

The fourth proportional to 2,323.98, 3,207.32 and 1,329.34 is: 1,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.98 : 3,207.32 = 1,329.34 : x
  2. Step 2: Convert to fraction form
    2,323.98/3,207.32 = 1,329.34/x
  3. Step 3: Cross multiply
    2,323.98x = 3,207.32 × 1,329.34
  4. Step 4: Simplify right side
    2,323.98x = 4,263,618.77
  5. Step 5: Solve for x
    x = 4,263,618.77/2,323.98
  6. Step 6: Final answer
    x = 1,834.62

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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.