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Finding the Fourth Proportional to 2,581.54, 3,871.01 and 1,265.40

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Solution

The fourth proportional to 2,581.54, 3,871.01 and 1,265.40 is: 1,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.54 : 3,871.01 = 1,265.40 : x
  2. Step 2: Convert to fraction form
    2,581.54/3,871.01 = 1,265.40/x
  3. Step 3: Cross multiply
    2,581.54x = 3,871.01 × 1,265.40
  4. Step 4: Simplify right side
    2,581.54x = 4,898,379.22
  5. Step 5: Solve for x
    x = 4,898,379.22/2,581.54
  6. Step 6: Final answer
    x = 1,897.47

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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.