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Finding the Fourth Proportional to 2,760.51, 3,810.30 and 1,642.23

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Solution

The fourth proportional to 2,760.51, 3,810.30 and 1,642.23 is: 2,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.51 : 3,810.30 = 1,642.23 : x
  2. Step 2: Convert to fraction form
    2,760.51/3,810.30 = 1,642.23/x
  3. Step 3: Cross multiply
    2,760.51x = 3,810.30 × 1,642.23
  4. Step 4: Simplify right side
    2,760.51x = 6,257,388.97
  5. Step 5: Solve for x
    x = 6,257,388.97/2,760.51
  6. Step 6: Final answer
    x = 2,266.75

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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.