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Finding the Fourth Proportional to 2,881.31, 3,977.03 and 1,687.30

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Solution

The fourth proportional to 2,881.31, 3,977.03 and 1,687.30 is: 2,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.31 : 3,977.03 = 1,687.30 : x
  2. Step 2: Convert to fraction form
    2,881.31/3,977.03 = 1,687.30/x
  3. Step 3: Cross multiply
    2,881.31x = 3,977.03 × 1,687.30
  4. Step 4: Simplify right side
    2,881.31x = 6,710,436.99
  5. Step 5: Solve for x
    x = 6,710,436.99/2,881.31
  6. Step 6: Final answer
    x = 2,328.96

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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.