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Finding the Fourth Proportional to 2,214.59, 3,322.25 and 828.41

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Solution

The fourth proportional to 2,214.59, 3,322.25 and 828.41 is: 1,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.59 : 3,322.25 = 828.41 : x
  2. Step 2: Convert to fraction form
    2,214.59/3,322.25 = 828.41/x
  3. Step 3: Cross multiply
    2,214.59x = 3,322.25 × 828.41
  4. Step 4: Simplify right side
    2,214.59x = 2,752,185.12
  5. Step 5: Solve for x
    x = 2,752,185.12/2,214.59
  6. Step 6: Final answer
    x = 1,242.75

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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.