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Finding the Fourth Proportional to 2,742.69, 4,114.55 and 1,099.36

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Solution

The fourth proportional to 2,742.69, 4,114.55 and 1,099.36 is: 1,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.69 : 4,114.55 = 1,099.36 : x
  2. Step 2: Convert to fraction form
    2,742.69/4,114.55 = 1,099.36/x
  3. Step 3: Cross multiply
    2,742.69x = 4,114.55 × 1,099.36
  4. Step 4: Simplify right side
    2,742.69x = 4,523,376.48
  5. Step 5: Solve for x
    x = 4,523,376.48/2,742.69
  6. Step 6: Final answer
    x = 1,649.25

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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.