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Finding the Fourth Proportional to 2,666.30, 3,999.45 and 817.40

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Solution

The fourth proportional to 2,666.30, 3,999.45 and 817.40 is: 1,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.30 : 3,999.45 = 817.40 : x
  2. Step 2: Convert to fraction form
    2,666.30/3,999.45 = 817.40/x
  3. Step 3: Cross multiply
    2,666.30x = 3,999.45 × 817.40
  4. Step 4: Simplify right side
    2,666.30x = 3,269,150.43
  5. Step 5: Solve for x
    x = 3,269,150.43/2,666.30
  6. Step 6: Final answer
    x = 1,226.10

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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.