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Finding the Fourth Proportional to 2,792.31, 3,852.74 and 1,672.83

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Solution

The fourth proportional to 2,792.31, 3,852.74 and 1,672.83 is: 2,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.31 : 3,852.74 = 1,672.83 : x
  2. Step 2: Convert to fraction form
    2,792.31/3,852.74 = 1,672.83/x
  3. Step 3: Cross multiply
    2,792.31x = 3,852.74 × 1,672.83
  4. Step 4: Simplify right side
    2,792.31x = 6,444,970.69
  5. Step 5: Solve for x
    x = 6,444,970.69/2,792.31
  6. Step 6: Final answer
    x = 2,308.11

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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.