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Finding the Fourth Proportional to 2,656, 3,662.76 and 1,593.60

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Solution

The fourth proportional to 2,656, 3,662.76 and 1,593.60 is: 2,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,662.76 = 1,593.60 : x
  2. Step 2: Convert to fraction form
    2,656/3,662.76 = 1,593.60/x
  3. Step 3: Cross multiply
    2,656x = 3,662.76 × 1,593.60
  4. Step 4: Simplify right side
    2,656x = 5,836,974.34
  5. Step 5: Solve for x
    x = 5,836,974.34/2,656
  6. Step 6: Final answer
    x = 2,197.66

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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.