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Finding the Fourth Proportional to 2,809.81, 4,214.74 and 1,249.39

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Solution

The fourth proportional to 2,809.81, 4,214.74 and 1,249.39 is: 1,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.81 : 4,214.74 = 1,249.39 : x
  2. Step 2: Convert to fraction form
    2,809.81/4,214.74 = 1,249.39/x
  3. Step 3: Cross multiply
    2,809.81x = 4,214.74 × 1,249.39
  4. Step 4: Simplify right side
    2,809.81x = 5,265,840.35
  5. Step 5: Solve for x
    x = 5,265,840.35/2,809.81
  6. Step 6: Final answer
    x = 1,874.09

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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.