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Finding the Fourth Proportional to 3,481.46, 4,804.48 and 1,909.46

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Solution

The fourth proportional to 3,481.46, 4,804.48 and 1,909.46 is: 2,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.46 : 4,804.48 = 1,909.46 : x
  2. Step 2: Convert to fraction form
    3,481.46/4,804.48 = 1,909.46/x
  3. Step 3: Cross multiply
    3,481.46x = 4,804.48 × 1,909.46
  4. Step 4: Simplify right side
    3,481.46x = 9,173,962.38
  5. Step 5: Solve for x
    x = 9,173,962.38/3,481.46
  6. Step 6: Final answer
    x = 2,635.09

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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.