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Finding the Fourth Proportional to 2,742.58, 4,114.59 and 1,099.18

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Solution

The fourth proportional to 2,742.58, 4,114.59 and 1,099.18 is: 1,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.58 : 4,114.59 = 1,099.18 : x
  2. Step 2: Convert to fraction form
    2,742.58/4,114.59 = 1,099.18/x
  3. Step 3: Cross multiply
    2,742.58x = 4,114.59 × 1,099.18
  4. Step 4: Simplify right side
    2,742.58x = 4,522,675.04
  5. Step 5: Solve for x
    x = 4,522,675.04/2,742.58
  6. Step 6: Final answer
    x = 1,649.06

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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.