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Finding the Fourth Proportional to 2,328.45, 3,206.52 and 2,180.22

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Solution

The fourth proportional to 2,328.45, 3,206.52 and 2,180.22 is: 3,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.45 : 3,206.52 = 2,180.22 : x
  2. Step 2: Convert to fraction form
    2,328.45/3,206.52 = 2,180.22/x
  3. Step 3: Cross multiply
    2,328.45x = 3,206.52 × 2,180.22
  4. Step 4: Simplify right side
    2,328.45x = 6,990,919.03
  5. Step 5: Solve for x
    x = 6,990,919.03/2,328.45
  6. Step 6: Final answer
    x = 3,002.39

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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.