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Finding the Fourth Proportional to 2,686.70, 4,029.73 and 739.06

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Solution

The fourth proportional to 2,686.70, 4,029.73 and 739.06 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.70 : 4,029.73 = 739.06 : x
  2. Step 2: Convert to fraction form
    2,686.70/4,029.73 = 739.06/x
  3. Step 3: Cross multiply
    2,686.70x = 4,029.73 × 739.06
  4. Step 4: Simplify right side
    2,686.70x = 2,978,200.33
  5. Step 5: Solve for x
    x = 2,978,200.33/2,686.70
  6. Step 6: Final answer
    x = 1,108.50

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1.5x scale

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.