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Finding the Fourth Proportional to 2,381.64, 3,286.47 and 1,333.50

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Solution

The fourth proportional to 2,381.64, 3,286.47 and 1,333.50 is: 1,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.64 : 3,286.47 = 1,333.50 : x
  2. Step 2: Convert to fraction form
    2,381.64/3,286.47 = 1,333.50/x
  3. Step 3: Cross multiply
    2,381.64x = 3,286.47 × 1,333.50
  4. Step 4: Simplify right side
    2,381.64x = 4,382,507.75
  5. Step 5: Solve for x
    x = 4,382,507.75/2,381.64
  6. Step 6: Final answer
    x = 1,840.12

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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.