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Finding the Fourth Proportional to 2,367.96, 3,267.90 and 1,320

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Solution

The fourth proportional to 2,367.96, 3,267.90 and 1,320 is: 1,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.96 : 3,267.90 = 1,320 : x
  2. Step 2: Convert to fraction form
    2,367.96/3,267.90 = 1,320/x
  3. Step 3: Cross multiply
    2,367.96x = 3,267.90 × 1,320
  4. Step 4: Simplify right side
    2,367.96x = 4,313,628
  5. Step 5: Solve for x
    x = 4,313,628/2,367.96
  6. Step 6: Final answer
    x = 1,821.66

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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.