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Finding the Fourth Proportional to 2,361.06, 3,259.89 and 1,477.26

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Solution

The fourth proportional to 2,361.06, 3,259.89 and 1,477.26 is: 2,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.06 : 3,259.89 = 1,477.26 : x
  2. Step 2: Convert to fraction form
    2,361.06/3,259.89 = 1,477.26/x
  3. Step 3: Cross multiply
    2,361.06x = 3,259.89 × 1,477.26
  4. Step 4: Simplify right side
    2,361.06x = 4,815,705.10
  5. Step 5: Solve for x
    x = 4,815,705.10/2,361.06
  6. Step 6: Final answer
    x = 2,039.64

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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.