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Finding the Fourth Proportional to 3,299.76, 4,946.73 and 1,653.96

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Solution

The fourth proportional to 3,299.76, 4,946.73 and 1,653.96 is: 2,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.76 : 4,946.73 = 1,653.96 : x
  2. Step 2: Convert to fraction form
    3,299.76/4,946.73 = 1,653.96/x
  3. Step 3: Cross multiply
    3,299.76x = 4,946.73 × 1,653.96
  4. Step 4: Simplify right side
    3,299.76x = 8,181,693.55
  5. Step 5: Solve for x
    x = 8,181,693.55/3,299.76
  6. Step 6: Final answer
    x = 2,479.48

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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.