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Finding the Fourth Proportional to 2,361.66, 3,261.51 and 1,771.26

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Solution

The fourth proportional to 2,361.66, 3,261.51 and 1,771.26 is: 2,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.66 : 3,261.51 = 1,771.26 : x
  2. Step 2: Convert to fraction form
    2,361.66/3,261.51 = 1,771.26/x
  3. Step 3: Cross multiply
    2,361.66x = 3,261.51 × 1,771.26
  4. Step 4: Simplify right side
    2,361.66x = 5,776,982.20
  5. Step 5: Solve for x
    x = 5,776,982.20/2,361.66
  6. Step 6: Final answer
    x = 2,446.15

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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.