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Finding the Fourth Proportional to 2,361.66, 3,535.20 and 2,160.06

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Solution

The fourth proportional to 2,361.66, 3,535.20 and 2,160.06 is: 3,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.66 : 3,535.20 = 2,160.06 : x
  2. Step 2: Convert to fraction form
    2,361.66/3,535.20 = 2,160.06/x
  3. Step 3: Cross multiply
    2,361.66x = 3,535.20 × 2,160.06
  4. Step 4: Simplify right side
    2,361.66x = 7,636,244.11
  5. Step 5: Solve for x
    x = 7,636,244.11/2,361.66
  6. Step 6: Final answer
    x = 3,233.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.