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Finding the Fourth Proportional to 4,457.49, 6,680.44 and 1,821.91

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Solution

The fourth proportional to 4,457.49, 6,680.44 and 1,821.91 is: 2,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.49 : 6,680.44 = 1,821.91 : x
  2. Step 2: Convert to fraction form
    4,457.49/6,680.44 = 1,821.91/x
  3. Step 3: Cross multiply
    4,457.49x = 6,680.44 × 1,821.91
  4. Step 4: Simplify right side
    4,457.49x = 12,171,160.44
  5. Step 5: Solve for x
    x = 12,171,160.44/4,457.49
  6. Step 6: Final answer
    x = 2,730.50

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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.