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Finding the Fourth Proportional to 3,234.36, 4,460.22 and 2,055

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Solution

The fourth proportional to 3,234.36, 4,460.22 and 2,055 is: 2,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.36 : 4,460.22 = 2,055 : x
  2. Step 2: Convert to fraction form
    3,234.36/4,460.22 = 2,055/x
  3. Step 3: Cross multiply
    3,234.36x = 4,460.22 × 2,055
  4. Step 4: Simplify right side
    3,234.36x = 9,165,752.10
  5. Step 5: Solve for x
    x = 9,165,752.10/3,234.36
  6. Step 6: Final answer
    x = 2,833.87

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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.