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Finding the Fourth Proportional to 2,871.56, 3,962.76 and 1,677.37

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Solution

The fourth proportional to 2,871.56, 3,962.76 and 1,677.37 is: 2,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.56 : 3,962.76 = 1,677.37 : x
  2. Step 2: Convert to fraction form
    2,871.56/3,962.76 = 1,677.37/x
  3. Step 3: Cross multiply
    2,871.56x = 3,962.76 × 1,677.37
  4. Step 4: Simplify right side
    2,871.56x = 6,647,014.74
  5. Step 5: Solve for x
    x = 6,647,014.74/2,871.56
  6. Step 6: Final answer
    x = 2,314.77

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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.