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Finding the Fourth Proportional to 3,283.76, 4,922.64 and 1,334.64

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Solution

The fourth proportional to 3,283.76, 4,922.64 and 1,334.64 is: 2,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.76 : 4,922.64 = 1,334.64 : x
  2. Step 2: Convert to fraction form
    3,283.76/4,922.64 = 1,334.64/x
  3. Step 3: Cross multiply
    3,283.76x = 4,922.64 × 1,334.64
  4. Step 4: Simplify right side
    3,283.76x = 6,569,952.25
  5. Step 5: Solve for x
    x = 6,569,952.25/3,283.76
  6. Step 6: Final answer
    x = 2,000.74

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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.