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Finding the Fourth Proportional to 2,004.80, 2,767.62 and 1,259.84

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Solution

The fourth proportional to 2,004.80, 2,767.62 and 1,259.84 is: 1,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.80 : 2,767.62 = 1,259.84 : x
  2. Step 2: Convert to fraction form
    2,004.80/2,767.62 = 1,259.84/x
  3. Step 3: Cross multiply
    2,004.80x = 2,767.62 × 1,259.84
  4. Step 4: Simplify right side
    2,004.80x = 3,486,758.38
  5. Step 5: Solve for x
    x = 3,486,758.38/2,004.80
  6. Step 6: Final answer
    x = 1,739.21

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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.