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Finding the Fourth Proportional to 2,687.23, 3,707.76 and 1,567.72

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Solution

The fourth proportional to 2,687.23, 3,707.76 and 1,567.72 is: 2,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.23 : 3,707.76 = 1,567.72 : x
  2. Step 2: Convert to fraction form
    2,687.23/3,707.76 = 1,567.72/x
  3. Step 3: Cross multiply
    2,687.23x = 3,707.76 × 1,567.72
  4. Step 4: Simplify right side
    2,687.23x = 5,812,729.51
  5. Step 5: Solve for x
    x = 5,812,729.51/2,687.23
  6. Step 6: Final answer
    x = 2,163.09

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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.