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Finding the Fourth Proportional to 2,765.15, 4,146.30 and 817.10

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Solution

The fourth proportional to 2,765.15, 4,146.30 and 817.10 is: 1,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.15 : 4,146.30 = 817.10 : x
  2. Step 2: Convert to fraction form
    2,765.15/4,146.30 = 817.10/x
  3. Step 3: Cross multiply
    2,765.15x = 4,146.30 × 817.10
  4. Step 4: Simplify right side
    2,765.15x = 3,387,941.73
  5. Step 5: Solve for x
    x = 3,387,941.73/2,765.15
  6. Step 6: Final answer
    x = 1,225.23

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