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Finding the Fourth Proportional to 3,249.02, 4,482.06 and 1,922.24

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Solution

The fourth proportional to 3,249.02, 4,482.06 and 1,922.24 is: 2,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.02 : 4,482.06 = 1,922.24 : x
  2. Step 2: Convert to fraction form
    3,249.02/4,482.06 = 1,922.24/x
  3. Step 3: Cross multiply
    3,249.02x = 4,482.06 × 1,922.24
  4. Step 4: Simplify right side
    3,249.02x = 8,615,595.01
  5. Step 5: Solve for x
    x = 8,615,595.01/3,249.02
  6. Step 6: Final answer
    x = 2,651.75

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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.