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Finding the Fourth Proportional to 3,432.44, 4,736.82 and 1,919.94

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Solution

The fourth proportional to 3,432.44, 4,736.82 and 1,919.94 is: 2,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.44 : 4,736.82 = 1,919.94 : x
  2. Step 2: Convert to fraction form
    3,432.44/4,736.82 = 1,919.94/x
  3. Step 3: Cross multiply
    3,432.44x = 4,736.82 × 1,919.94
  4. Step 4: Simplify right side
    3,432.44x = 9,094,410.19
  5. Step 5: Solve for x
    x = 9,094,410.19/3,432.44
  6. Step 6: Final answer
    x = 2,649.55

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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.