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Finding the Fourth Proportional to 3,404.20, 5,102.04 and 1,844.20

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Solution

The fourth proportional to 3,404.20, 5,102.04 and 1,844.20 is: 2,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.20 : 5,102.04 = 1,844.20 : x
  2. Step 2: Convert to fraction form
    3,404.20/5,102.04 = 1,844.20/x
  3. Step 3: Cross multiply
    3,404.20x = 5,102.04 × 1,844.20
  4. Step 4: Simplify right side
    3,404.20x = 9,409,182.17
  5. Step 5: Solve for x
    x = 9,409,182.17/3,404.20
  6. Step 6: Final answer
    x = 2,763.99

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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.