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Finding the Fourth Proportional to 2,137.80, 2,949.30 and 1,639.56

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Solution

The fourth proportional to 2,137.80, 2,949.30 and 1,639.56 is: 2,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.80 : 2,949.30 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    2,137.80/2,949.30 = 1,639.56/x
  3. Step 3: Cross multiply
    2,137.80x = 2,949.30 × 1,639.56
  4. Step 4: Simplify right side
    2,137.80x = 4,835,554.31
  5. Step 5: Solve for x
    x = 4,835,554.31/2,137.80
  6. Step 6: Final answer
    x = 2,261.93

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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.