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Finding the Fourth Proportional to 3,428.93, 4,732.16 and 1,936.31

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Solution

The fourth proportional to 3,428.93, 4,732.16 and 1,936.31 is: 2,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.93 : 4,732.16 = 1,936.31 : x
  2. Step 2: Convert to fraction form
    3,428.93/4,732.16 = 1,936.31/x
  3. Step 3: Cross multiply
    3,428.93x = 4,732.16 × 1,936.31
  4. Step 4: Simplify right side
    3,428.93x = 9,162,895.39
  5. Step 5: Solve for x
    x = 9,162,895.39/3,428.93
  6. Step 6: Final answer
    x = 2,672.23

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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.