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Finding the Fourth Proportional to 2,214.80, 3,322.76 and 1,829.36

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Solution

The fourth proportional to 2,214.80, 3,322.76 and 1,829.36 is: 2,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.80 : 3,322.76 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    2,214.80/3,322.76 = 1,829.36/x
  3. Step 3: Cross multiply
    2,214.80x = 3,322.76 × 1,829.36
  4. Step 4: Simplify right side
    2,214.80x = 6,078,524.23
  5. Step 5: Solve for x
    x = 6,078,524.23/2,214.80
  6. Step 6: Final answer
    x = 2,744.50

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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.