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Finding the Fourth Proportional to 2,805.51, 3,871.52 and 1,671.27

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Solution

The fourth proportional to 2,805.51, 3,871.52 and 1,671.27 is: 2,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.51 : 3,871.52 = 1,671.27 : x
  2. Step 2: Convert to fraction form
    2,805.51/3,871.52 = 1,671.27/x
  3. Step 3: Cross multiply
    2,805.51x = 3,871.52 × 1,671.27
  4. Step 4: Simplify right side
    2,805.51x = 6,470,346.87
  5. Step 5: Solve for x
    x = 6,470,346.87/2,805.51
  6. Step 6: Final answer
    x = 2,306.30

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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.