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Finding the Fourth Proportional to 2,214.71, 3,322.08 and 828.03

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Solution

The fourth proportional to 2,214.71, 3,322.08 and 828.03 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.71 : 3,322.08 = 828.03 : x
  2. Step 2: Convert to fraction form
    2,214.71/3,322.08 = 828.03/x
  3. Step 3: Cross multiply
    2,214.71x = 3,322.08 × 828.03
  4. Step 4: Simplify right side
    2,214.71x = 2,750,781.90
  5. Step 5: Solve for x
    x = 2,750,781.90/2,214.71
  6. Step 6: Final answer
    x = 1,242.05

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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.