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Finding the Fourth Proportional to 2,792.64, 3,853.42 and 1,673.34

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Solution

The fourth proportional to 2,792.64, 3,853.42 and 1,673.34 is: 2,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.64 : 3,853.42 = 1,673.34 : x
  2. Step 2: Convert to fraction form
    2,792.64/3,853.42 = 1,673.34/x
  3. Step 3: Cross multiply
    2,792.64x = 3,853.42 × 1,673.34
  4. Step 4: Simplify right side
    2,792.64x = 6,448,081.82
  5. Step 5: Solve for x
    x = 6,448,081.82/2,792.64
  6. Step 6: Final answer
    x = 2,308.96

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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.