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Finding the Fourth Proportional to 3,086.80, 4,259.12 and 1,828.25

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Solution

The fourth proportional to 3,086.80, 4,259.12 and 1,828.25 is: 2,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.80 : 4,259.12 = 1,828.25 : x
  2. Step 2: Convert to fraction form
    3,086.80/4,259.12 = 1,828.25/x
  3. Step 3: Cross multiply
    3,086.80x = 4,259.12 × 1,828.25
  4. Step 4: Simplify right side
    3,086.80x = 7,786,714.84
  5. Step 5: Solve for x
    x = 7,786,714.84/3,086.80
  6. Step 6: Final answer
    x = 2,522.59

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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.