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Finding the Fourth Proportional to 2,709, 4,063.86 and 1,170.36

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Solution

The fourth proportional to 2,709, 4,063.86 and 1,170.36 is: 1,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 4,063.86 = 1,170.36 : x
  2. Step 2: Convert to fraction form
    2,709/4,063.86 = 1,170.36/x
  3. Step 3: Cross multiply
    2,709x = 4,063.86 × 1,170.36
  4. Step 4: Simplify right side
    2,709x = 4,756,179.19
  5. Step 5: Solve for x
    x = 4,756,179.19/2,709
  6. Step 6: Final answer
    x = 1,755.70

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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.