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Finding the Fourth Proportional to 1,845, 2,546.46 and 1,099.08

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Solution

The fourth proportional to 1,845, 2,546.46 and 1,099.08 is: 1,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845 : 2,546.46 = 1,099.08 : x
  2. Step 2: Convert to fraction form
    1,845/2,546.46 = 1,099.08/x
  3. Step 3: Cross multiply
    1,845x = 2,546.46 × 1,099.08
  4. Step 4: Simplify right side
    1,845x = 2,798,763.26
  5. Step 5: Solve for x
    x = 2,798,763.26/1,845
  6. Step 6: Final answer
    x = 1,516.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.