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Finding the Fourth Proportional to 2,361.13, 3,536.83 and 1,384.88

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Solution

The fourth proportional to 2,361.13, 3,536.83 and 1,384.88 is: 2,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.13 : 3,536.83 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    2,361.13/3,536.83 = 1,384.88/x
  3. Step 3: Cross multiply
    2,361.13x = 3,536.83 × 1,384.88
  4. Step 4: Simplify right side
    2,361.13x = 4,898,069.18
  5. Step 5: Solve for x
    x = 4,898,069.18/2,361.13
  6. Step 6: Final answer
    x = 2,074.46

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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.