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Finding the Fourth Proportional to 1,792.31, 2,471.39 and 1,162.01

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Solution

The fourth proportional to 1,792.31, 2,471.39 and 1,162.01 is: 1,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.31 : 2,471.39 = 1,162.01 : x
  2. Step 2: Convert to fraction form
    1,792.31/2,471.39 = 1,162.01/x
  3. Step 3: Cross multiply
    1,792.31x = 2,471.39 × 1,162.01
  4. Step 4: Simplify right side
    1,792.31x = 2,871,761.73
  5. Step 5: Solve for x
    x = 2,871,761.73/1,792.31
  6. Step 6: Final answer
    x = 1,602.27

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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.