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Finding the Fourth Proportional to 3,481.64, 4,804.64 and 1,909.74

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Solution

The fourth proportional to 3,481.64, 4,804.64 and 1,909.74 is: 2,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.64 : 4,804.64 = 1,909.74 : x
  2. Step 2: Convert to fraction form
    3,481.64/4,804.64 = 1,909.74/x
  3. Step 3: Cross multiply
    3,481.64x = 4,804.64 × 1,909.74
  4. Step 4: Simplify right side
    3,481.64x = 9,175,613.19
  5. Step 5: Solve for x
    x = 9,175,613.19/3,481.64
  6. Step 6: Final answer
    x = 2,635.43

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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.