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Finding the Fourth Proportional to 2,765.10, 4,147.14 and 816.84

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Solution

The fourth proportional to 2,765.10, 4,147.14 and 816.84 is: 1,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.10 : 4,147.14 = 816.84 : x
  2. Step 2: Convert to fraction form
    2,765.10/4,147.14 = 816.84/x
  3. Step 3: Cross multiply
    2,765.10x = 4,147.14 × 816.84
  4. Step 4: Simplify right side
    2,765.10x = 3,387,549.84
  5. Step 5: Solve for x
    x = 3,387,549.84/2,765.10
  6. Step 6: Final answer
    x = 1,225.11

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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.