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Finding the Fourth Proportional to 3,293.92, 4,543.05 and 1,967.34

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Solution

The fourth proportional to 3,293.92, 4,543.05 and 1,967.34 is: 2,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.92 : 4,543.05 = 1,967.34 : x
  2. Step 2: Convert to fraction form
    3,293.92/4,543.05 = 1,967.34/x
  3. Step 3: Cross multiply
    3,293.92x = 4,543.05 × 1,967.34
  4. Step 4: Simplify right side
    3,293.92x = 8,937,723.99
  5. Step 5: Solve for x
    x = 8,937,723.99/3,293.92
  6. Step 6: Final answer
    x = 2,713.40

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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.