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Finding the Fourth Proportional to 2,792.34, 3,852.89 and 1,672.87

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Solution

The fourth proportional to 2,792.34, 3,852.89 and 1,672.87 is: 2,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.34 : 3,852.89 = 1,672.87 : x
  2. Step 2: Convert to fraction form
    2,792.34/3,852.89 = 1,672.87/x
  3. Step 3: Cross multiply
    2,792.34x = 3,852.89 × 1,672.87
  4. Step 4: Simplify right side
    2,792.34x = 6,445,375.73
  5. Step 5: Solve for x
    x = 6,445,375.73/2,792.34
  6. Step 6: Final answer
    x = 2,308.23

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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.