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Finding the Fourth Proportional to 2,185.76, 3,277.87 and 704.92

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Solution

The fourth proportional to 2,185.76, 3,277.87 and 704.92 is: 1,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.76 : 3,277.87 = 704.92 : x
  2. Step 2: Convert to fraction form
    2,185.76/3,277.87 = 704.92/x
  3. Step 3: Cross multiply
    2,185.76x = 3,277.87 × 704.92
  4. Step 4: Simplify right side
    2,185.76x = 2,310,636.12
  5. Step 5: Solve for x
    x = 2,310,636.12/2,185.76
  6. Step 6: Final answer
    x = 1,057.13

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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.