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Finding the Fourth Proportional to 2,132.64, 2,937.16 and 1,837.80

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Solution

The fourth proportional to 2,132.64, 2,937.16 and 1,837.80 is: 2,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.64 : 2,937.16 = 1,837.80 : x
  2. Step 2: Convert to fraction form
    2,132.64/2,937.16 = 1,837.80/x
  3. Step 3: Cross multiply
    2,132.64x = 2,937.16 × 1,837.80
  4. Step 4: Simplify right side
    2,132.64x = 5,397,912.65
  5. Step 5: Solve for x
    x = 5,397,912.65/2,132.64
  6. Step 6: Final answer
    x = 2,531.09

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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.