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Finding the Fourth Proportional to 2,675.40, 4,006.86 and 2,601.57

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Solution

The fourth proportional to 2,675.40, 4,006.86 and 2,601.57 is: 3,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.40 : 4,006.86 = 2,601.57 : x
  2. Step 2: Convert to fraction form
    2,675.40/4,006.86 = 2,601.57/x
  3. Step 3: Cross multiply
    2,675.40x = 4,006.86 × 2,601.57
  4. Step 4: Simplify right side
    2,675.40x = 10,424,126.77
  5. Step 5: Solve for x
    x = 10,424,126.77/2,675.40
  6. Step 6: Final answer
    x = 3,896.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.