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Finding the Fourth Proportional to 2,512.16, 3,469.20 and 1,728.08

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Solution

The fourth proportional to 2,512.16, 3,469.20 and 1,728.08 is: 2,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.16 : 3,469.20 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    2,512.16/3,469.20 = 1,728.08/x
  3. Step 3: Cross multiply
    2,512.16x = 3,469.20 × 1,728.08
  4. Step 4: Simplify right side
    2,512.16x = 5,995,055.14
  5. Step 5: Solve for x
    x = 5,995,055.14/2,512.16
  6. Step 6: Final answer
    x = 2,386.41

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