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Finding the Fourth Proportional to 2,765.66, 4,147.05 and 817.60

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Solution

The fourth proportional to 2,765.66, 4,147.05 and 817.60 is: 1,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.66 : 4,147.05 = 817.60 : x
  2. Step 2: Convert to fraction form
    2,765.66/4,147.05 = 817.60/x
  3. Step 3: Cross multiply
    2,765.66x = 4,147.05 × 817.60
  4. Step 4: Simplify right side
    2,765.66x = 3,390,628.08
  5. Step 5: Solve for x
    x = 3,390,628.08/2,765.66
  6. Step 6: Final answer
    x = 1,225.97

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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.