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Finding the Fourth Proportional to 3,194.64, 4,409.03 and 2,407.32

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Solution

The fourth proportional to 3,194.64, 4,409.03 and 2,407.32 is: 3,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.64 : 4,409.03 = 2,407.32 : x
  2. Step 2: Convert to fraction form
    3,194.64/4,409.03 = 2,407.32/x
  3. Step 3: Cross multiply
    3,194.64x = 4,409.03 × 2,407.32
  4. Step 4: Simplify right side
    3,194.64x = 10,613,952.12
  5. Step 5: Solve for x
    x = 10,613,952.12/3,194.64
  6. Step 6: Final answer
    x = 3,322.43

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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.