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Finding the Fourth Proportional to 2,076.96, 3,115.50 and 778.17

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Solution

The fourth proportional to 2,076.96, 3,115.50 and 778.17 is: 1,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.96 : 3,115.50 = 778.17 : x
  2. Step 2: Convert to fraction form
    2,076.96/3,115.50 = 778.17/x
  3. Step 3: Cross multiply
    2,076.96x = 3,115.50 × 778.17
  4. Step 4: Simplify right side
    2,076.96x = 2,424,388.64
  5. Step 5: Solve for x
    x = 2,424,388.64/2,076.96
  6. Step 6: Final answer
    x = 1,167.28

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Why These Related Problems?

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