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Finding the Fourth Proportional to 2,076.54, 3,115.56 and 778.20

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Solution

The fourth proportional to 2,076.54, 3,115.56 and 778.20 is: 1,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.54 : 3,115.56 = 778.20 : x
  2. Step 2: Convert to fraction form
    2,076.54/3,115.56 = 778.20/x
  3. Step 3: Cross multiply
    2,076.54x = 3,115.56 × 778.20
  4. Step 4: Simplify right side
    2,076.54x = 2,424,528.79
  5. Step 5: Solve for x
    x = 2,424,528.79/2,076.54
  6. Step 6: Final answer
    x = 1,167.58

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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.