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Finding the Fourth Proportional to 3,281.79, 4,922.58 and 1,333.95

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Solution

The fourth proportional to 3,281.79, 4,922.58 and 1,333.95 is: 2,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.79 : 4,922.58 = 1,333.95 : x
  2. Step 2: Convert to fraction form
    3,281.79/4,922.58 = 1,333.95/x
  3. Step 3: Cross multiply
    3,281.79x = 4,922.58 × 1,333.95
  4. Step 4: Simplify right side
    3,281.79x = 6,566,475.59
  5. Step 5: Solve for x
    x = 6,566,475.59/3,281.79
  6. Step 6: Final answer
    x = 2,000.88

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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.