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Finding the Fourth Proportional to 2,762.41, 3,812.29 and 1,567.46

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Solution

The fourth proportional to 2,762.41, 3,812.29 and 1,567.46 is: 2,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.41 : 3,812.29 = 1,567.46 : x
  2. Step 2: Convert to fraction form
    2,762.41/3,812.29 = 1,567.46/x
  3. Step 3: Cross multiply
    2,762.41x = 3,812.29 × 1,567.46
  4. Step 4: Simplify right side
    2,762.41x = 5,975,593.02
  5. Step 5: Solve for x
    x = 5,975,593.02/2,762.41
  6. Step 6: Final answer
    x = 2,163.18

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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.