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Finding the Fourth Proportional to 2,660.50, 3,669.78 and 2,137.78

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Solution

The fourth proportional to 2,660.50, 3,669.78 and 2,137.78 is: 2,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.50 : 3,669.78 = 2,137.78 : x
  2. Step 2: Convert to fraction form
    2,660.50/3,669.78 = 2,137.78/x
  3. Step 3: Cross multiply
    2,660.50x = 3,669.78 × 2,137.78
  4. Step 4: Simplify right side
    2,660.50x = 7,845,182.29
  5. Step 5: Solve for x
    x = 7,845,182.29/2,660.50
  6. Step 6: Final answer
    x = 2,948.76

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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.