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Finding the Fourth Proportional to 3,230.88, 4,846.81 and 1,382

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Solution

The fourth proportional to 3,230.88, 4,846.81 and 1,382 is: 2,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.88 : 4,846.81 = 1,382 : x
  2. Step 2: Convert to fraction form
    3,230.88/4,846.81 = 1,382/x
  3. Step 3: Cross multiply
    3,230.88x = 4,846.81 × 1,382
  4. Step 4: Simplify right side
    3,230.88x = 6,698,291.42
  5. Step 5: Solve for x
    x = 6,698,291.42/3,230.88
  6. Step 6: Final answer
    x = 2,073.21

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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.