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Finding the Fourth Proportional to 2,705.94, 4,059.54 and 832.14

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Solution

The fourth proportional to 2,705.94, 4,059.54 and 832.14 is: 1,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.94 : 4,059.54 = 832.14 : x
  2. Step 2: Convert to fraction form
    2,705.94/4,059.54 = 832.14/x
  3. Step 3: Cross multiply
    2,705.94x = 4,059.54 × 832.14
  4. Step 4: Simplify right side
    2,705.94x = 3,378,105.62
  5. Step 5: Solve for x
    x = 3,378,105.62/2,705.94
  6. Step 6: Final answer
    x = 1,248.40

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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.