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Finding the Fourth Proportional to 2,845.81, 4,268.40 and 766

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Solution

The fourth proportional to 2,845.81, 4,268.40 and 766 is: 1,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.81 : 4,268.40 = 766 : x
  2. Step 2: Convert to fraction form
    2,845.81/4,268.40 = 766/x
  3. Step 3: Cross multiply
    2,845.81x = 4,268.40 × 766
  4. Step 4: Simplify right side
    2,845.81x = 3,269,594.40
  5. Step 5: Solve for x
    x = 3,269,594.40/2,845.81
  6. Step 6: Final answer
    x = 1,148.92

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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.