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Finding the Fourth Proportional to 1,728.38, 2,385.16 and 942.42

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Solution

The fourth proportional to 1,728.38, 2,385.16 and 942.42 is: 1,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.38 : 2,385.16 = 942.42 : x
  2. Step 2: Convert to fraction form
    1,728.38/2,385.16 = 942.42/x
  3. Step 3: Cross multiply
    1,728.38x = 2,385.16 × 942.42
  4. Step 4: Simplify right side
    1,728.38x = 2,247,829.08
  5. Step 5: Solve for x
    x = 2,247,829.08/1,728.38
  6. Step 6: Final answer
    x = 1,300.54

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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.