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Finding the Fourth Proportional to 4,694.41, 7,041.82 and 1,772.94

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Solution

The fourth proportional to 4,694.41, 7,041.82 and 1,772.94 is: 2,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.41 : 7,041.82 = 1,772.94 : x
  2. Step 2: Convert to fraction form
    4,694.41/7,041.82 = 1,772.94/x
  3. Step 3: Cross multiply
    4,694.41x = 7,041.82 × 1,772.94
  4. Step 4: Simplify right side
    4,694.41x = 12,484,724.35
  5. Step 5: Solve for x
    x = 12,484,724.35/4,694.41
  6. Step 6: Final answer
    x = 2,659.49

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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.