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Finding the Fourth Proportional to 2,757.69, 3,805.52 and 1,577.93

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Solution

The fourth proportional to 2,757.69, 3,805.52 and 1,577.93 is: 2,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.69 : 3,805.52 = 1,577.93 : x
  2. Step 2: Convert to fraction form
    2,757.69/3,805.52 = 1,577.93/x
  3. Step 3: Cross multiply
    2,757.69x = 3,805.52 × 1,577.93
  4. Step 4: Simplify right side
    2,757.69x = 6,004,817.26
  5. Step 5: Solve for x
    x = 6,004,817.26/2,757.69
  6. Step 6: Final answer
    x = 2,177.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.