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Finding the Fourth Proportional to 1,214, 1,829.27 and 1,081.39

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Solution

The fourth proportional to 1,214, 1,829.27 and 1,081.39 is: 1,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214 : 1,829.27 = 1,081.39 : x
  2. Step 2: Convert to fraction form
    1,214/1,829.27 = 1,081.39/x
  3. Step 3: Cross multiply
    1,214x = 1,829.27 × 1,081.39
  4. Step 4: Simplify right side
    1,214x = 1,978,154.29
  5. Step 5: Solve for x
    x = 1,978,154.29/1,214
  6. Step 6: Final answer
    x = 1,629.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.