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Finding the Fourth Proportional to 2,672.51, 3,685.91 and 1,728.45

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Solution

The fourth proportional to 2,672.51, 3,685.91 and 1,728.45 is: 2,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.51 : 3,685.91 = 1,728.45 : x
  2. Step 2: Convert to fraction form
    2,672.51/3,685.91 = 1,728.45/x
  3. Step 3: Cross multiply
    2,672.51x = 3,685.91 × 1,728.45
  4. Step 4: Simplify right side
    2,672.51x = 6,370,902.50
  5. Step 5: Solve for x
    x = 6,370,902.50/2,672.51
  6. Step 6: Final answer
    x = 2,383.87

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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.