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Finding the Fourth Proportional to 2,381.96, 3,286.18 and 1,437.48

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Solution

The fourth proportional to 2,381.96, 3,286.18 and 1,437.48 is: 1,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.96 : 3,286.18 = 1,437.48 : x
  2. Step 2: Convert to fraction form
    2,381.96/3,286.18 = 1,437.48/x
  3. Step 3: Cross multiply
    2,381.96x = 3,286.18 × 1,437.48
  4. Step 4: Simplify right side
    2,381.96x = 4,723,818.03
  5. Step 5: Solve for x
    x = 4,723,818.03/2,381.96
  6. Step 6: Final answer
    x = 1,983.16

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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.