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Finding the Fourth Proportional to 2,709.75, 4,064.63 and 657.75

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Solution

The fourth proportional to 2,709.75, 4,064.63 and 657.75 is: 986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 4,064.63 = 657.75 : x
  2. Step 2: Convert to fraction form
    2,709.75/4,064.63 = 657.75/x
  3. Step 3: Cross multiply
    2,709.75x = 4,064.63 × 657.75
  4. Step 4: Simplify right side
    2,709.75x = 2,673,507.09
  5. Step 5: Solve for x
    x = 2,673,507.09/2,709.75
  6. Step 6: Final answer
    x = 986.63

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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.