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Finding the Fourth Proportional to 2,734.96, 4,107.96 and 1,641.40

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Solution

The fourth proportional to 2,734.96, 4,107.96 and 1,641.40 is: 2,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.96 : 4,107.96 = 1,641.40 : x
  2. Step 2: Convert to fraction form
    2,734.96/4,107.96 = 1,641.40/x
  3. Step 3: Cross multiply
    2,734.96x = 4,107.96 × 1,641.40
  4. Step 4: Simplify right side
    2,734.96x = 6,742,805.54
  5. Step 5: Solve for x
    x = 6,742,805.54/2,734.96
  6. Step 6: Final answer
    x = 2,465.41

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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.