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Finding the Fourth Proportional to 1,820.44, 2,711.27 and 1,755.87

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Solution

The fourth proportional to 1,820.44, 2,711.27 and 1,755.87 is: 2,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.44 : 2,711.27 = 1,755.87 : x
  2. Step 2: Convert to fraction form
    1,820.44/2,711.27 = 1,755.87/x
  3. Step 3: Cross multiply
    1,820.44x = 2,711.27 × 1,755.87
  4. Step 4: Simplify right side
    1,820.44x = 4,760,637.65
  5. Step 5: Solve for x
    x = 4,760,637.65/1,820.44
  6. Step 6: Final answer
    x = 2,615.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.