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Finding the Fourth Proportional to 1,924.48, 2,884.24 and 1,404.44

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Solution

The fourth proportional to 1,924.48, 2,884.24 and 1,404.44 is: 2,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.48 : 2,884.24 = 1,404.44 : x
  2. Step 2: Convert to fraction form
    1,924.48/2,884.24 = 1,404.44/x
  3. Step 3: Cross multiply
    1,924.48x = 2,884.24 × 1,404.44
  4. Step 4: Simplify right side
    1,924.48x = 4,050,742.03
  5. Step 5: Solve for x
    x = 4,050,742.03/1,924.48
  6. Step 6: Final answer
    x = 2,104.85

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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.