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Finding the Fourth Proportional to 2,744.04, 4,116.05 and 1,099.41

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Solution

The fourth proportional to 2,744.04, 4,116.05 and 1,099.41 is: 1,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.04 : 4,116.05 = 1,099.41 : x
  2. Step 2: Convert to fraction form
    2,744.04/4,116.05 = 1,099.41/x
  3. Step 3: Cross multiply
    2,744.04x = 4,116.05 × 1,099.41
  4. Step 4: Simplify right side
    2,744.04x = 4,525,210.74
  5. Step 5: Solve for x
    x = 4,525,210.74/2,744.04
  6. Step 6: Final answer
    x = 1,649.11

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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.