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Finding the Fourth Proportional to 2,796, 3,865.68 and 2,673.60

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Solution

The fourth proportional to 2,796, 3,865.68 and 2,673.60 is: 3,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796 : 3,865.68 = 2,673.60 : x
  2. Step 2: Convert to fraction form
    2,796/3,865.68 = 2,673.60/x
  3. Step 3: Cross multiply
    2,796x = 3,865.68 × 2,673.60
  4. Step 4: Simplify right side
    2,796x = 10,335,282.05
  5. Step 5: Solve for x
    x = 10,335,282.05/2,796
  6. Step 6: Final answer
    x = 3,696.45

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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.