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Finding the Fourth Proportional to 2,760.75, 3,802.28 and 2,567.03

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Solution

The fourth proportional to 2,760.75, 3,802.28 and 2,567.03 is: 3,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.75 : 3,802.28 = 2,567.03 : x
  2. Step 2: Convert to fraction form
    2,760.75/3,802.28 = 2,567.03/x
  3. Step 3: Cross multiply
    2,760.75x = 3,802.28 × 2,567.03
  4. Step 4: Simplify right side
    2,760.75x = 9,760,534.98
  5. Step 5: Solve for x
    x = 9,760,534.98/2,760.75
  6. Step 6: Final answer
    x = 3,535.46

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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.