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Finding the Fourth Proportional to 1,966.37, 2,949.54 and 700.85

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Solution

The fourth proportional to 1,966.37, 2,949.54 and 700.85 is: 1,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.37 : 2,949.54 = 700.85 : x
  2. Step 2: Convert to fraction form
    1,966.37/2,949.54 = 700.85/x
  3. Step 3: Cross multiply
    1,966.37x = 2,949.54 × 700.85
  4. Step 4: Simplify right side
    1,966.37x = 2,067,170.36
  5. Step 5: Solve for x
    x = 2,067,170.36/1,966.37
  6. Step 6: Final answer
    x = 1,051.26

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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.