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Finding the Fourth Proportional to 3,214, 4,435.32 and 1,742

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Solution

The fourth proportional to 3,214, 4,435.32 and 1,742 is: 2,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,435.32 = 1,742 : x
  2. Step 2: Convert to fraction form
    3,214/4,435.32 = 1,742/x
  3. Step 3: Cross multiply
    3,214x = 4,435.32 × 1,742
  4. Step 4: Simplify right side
    3,214x = 7,726,327.44
  5. Step 5: Solve for x
    x = 7,726,327.44/3,214
  6. Step 6: Final answer
    x = 2,403.96

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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.