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Finding the Fourth Proportional to 2,361.94, 3,259.27 and 1,314.06

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Solution

The fourth proportional to 2,361.94, 3,259.27 and 1,314.06 is: 1,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.94 : 3,259.27 = 1,314.06 : x
  2. Step 2: Convert to fraction form
    2,361.94/3,259.27 = 1,314.06/x
  3. Step 3: Cross multiply
    2,361.94x = 3,259.27 × 1,314.06
  4. Step 4: Simplify right side
    2,361.94x = 4,282,876.34
  5. Step 5: Solve for x
    x = 4,282,876.34/2,361.94
  6. Step 6: Final answer
    x = 1,813.29

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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.