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Finding the Fourth Proportional to 2,064.66, 3,096.82 and 766

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Solution

The fourth proportional to 2,064.66, 3,096.82 and 766 is: 1,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.66 : 3,096.82 = 766 : x
  2. Step 2: Convert to fraction form
    2,064.66/3,096.82 = 766/x
  3. Step 3: Cross multiply
    2,064.66x = 3,096.82 × 766
  4. Step 4: Simplify right side
    2,064.66x = 2,372,164.12
  5. Step 5: Solve for x
    x = 2,372,164.12/2,064.66
  6. Step 6: Final answer
    x = 1,148.94

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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.