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Finding the Fourth Proportional to 2,803.41, 3,871.40 and 2,265.57

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Solution

The fourth proportional to 2,803.41, 3,871.40 and 2,265.57 is: 3,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.41 : 3,871.40 = 2,265.57 : x
  2. Step 2: Convert to fraction form
    2,803.41/3,871.40 = 2,265.57/x
  3. Step 3: Cross multiply
    2,803.41x = 3,871.40 × 2,265.57
  4. Step 4: Simplify right side
    2,803.41x = 8,770,916.37
  5. Step 5: Solve for x
    x = 8,770,916.37/2,803.41
  6. Step 6: Final answer
    x = 3,128.66

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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.