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Finding the Fourth Proportional to 3,142.64, 4,713.32 and 1,194.16

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Solution

The fourth proportional to 3,142.64, 4,713.32 and 1,194.16 is: 1,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.64 : 4,713.32 = 1,194.16 : x
  2. Step 2: Convert to fraction form
    3,142.64/4,713.32 = 1,194.16/x
  3. Step 3: Cross multiply
    3,142.64x = 4,713.32 × 1,194.16
  4. Step 4: Simplify right side
    3,142.64x = 5,628,458.21
  5. Step 5: Solve for x
    x = 5,628,458.21/3,142.64
  6. Step 6: Final answer
    x = 1,791.00

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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.