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Finding the Fourth Proportional to 2,076.10, 3,115.52 and 777.56

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Solution

The fourth proportional to 2,076.10, 3,115.52 and 777.56 is: 1,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.10 : 3,115.52 = 777.56 : x
  2. Step 2: Convert to fraction form
    2,076.10/3,115.52 = 777.56/x
  3. Step 3: Cross multiply
    2,076.10x = 3,115.52 × 777.56
  4. Step 4: Simplify right side
    2,076.10x = 2,422,503.73
  5. Step 5: Solve for x
    x = 2,422,503.73/2,076.10
  6. Step 6: Final answer
    x = 1,166.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.