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Finding the Fourth Proportional to 2,361.72, 3,251.98 and 1,864.18

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Solution

The fourth proportional to 2,361.72, 3,251.98 and 1,864.18 is: 2,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.72 : 3,251.98 = 1,864.18 : x
  2. Step 2: Convert to fraction form
    2,361.72/3,251.98 = 1,864.18/x
  3. Step 3: Cross multiply
    2,361.72x = 3,251.98 × 1,864.18
  4. Step 4: Simplify right side
    2,361.72x = 6,062,282.47
  5. Step 5: Solve for x
    x = 6,062,282.47/2,361.72
  6. Step 6: Final answer
    x = 2,566.89

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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.