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Finding the Fourth Proportional to 3,463.00, 5,191.29 and 1,382.49

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Solution

The fourth proportional to 3,463.00, 5,191.29 and 1,382.49 is: 2,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.00 : 5,191.29 = 1,382.49 : x
  2. Step 2: Convert to fraction form
    3,463.00/5,191.29 = 1,382.49/x
  3. Step 3: Cross multiply
    3,463.00x = 5,191.29 × 1,382.49
  4. Step 4: Simplify right side
    3,463.00x = 7,176,906.51
  5. Step 5: Solve for x
    x = 7,176,906.51/3,463.00
  6. Step 6: Final answer
    x = 2,072.46

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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.