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Finding the Fourth Proportional to 1,792.36, 2,475.46 and 1,201.96

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Solution

The fourth proportional to 1,792.36, 2,475.46 and 1,201.96 is: 1,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.36 : 2,475.46 = 1,201.96 : x
  2. Step 2: Convert to fraction form
    1,792.36/2,475.46 = 1,201.96/x
  3. Step 3: Cross multiply
    1,792.36x = 2,475.46 × 1,201.96
  4. Step 4: Simplify right side
    1,792.36x = 2,975,403.90
  5. Step 5: Solve for x
    x = 2,975,403.90/1,792.36
  6. Step 6: Final answer
    x = 1,660.05

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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.