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Finding the Fourth Proportional to 3,281.94, 4,922.98 and 1,332.82

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Solution

The fourth proportional to 3,281.94, 4,922.98 and 1,332.82 is: 1,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.94 : 4,922.98 = 1,332.82 : x
  2. Step 2: Convert to fraction form
    3,281.94/4,922.98 = 1,332.82/x
  3. Step 3: Cross multiply
    3,281.94x = 4,922.98 × 1,332.82
  4. Step 4: Simplify right side
    3,281.94x = 6,561,446.20
  5. Step 5: Solve for x
    x = 6,561,446.20/3,281.94
  6. Step 6: Final answer
    x = 1,999.26

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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.