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Finding the Fourth Proportional to 1,146.10, 1,728.10 and 1,105.60

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Solution

The fourth proportional to 1,146.10, 1,728.10 and 1,105.60 is: 1,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.10 : 1,728.10 = 1,105.60 : x
  2. Step 2: Convert to fraction form
    1,146.10/1,728.10 = 1,105.60/x
  3. Step 3: Cross multiply
    1,146.10x = 1,728.10 × 1,105.60
  4. Step 4: Simplify right side
    1,146.10x = 1,910,587.36
  5. Step 5: Solve for x
    x = 1,910,587.36/1,146.10
  6. Step 6: Final answer
    x = 1,667.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.