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Finding the Fourth Proportional to 2,310.05, 3,465.68 and 666.73

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Solution

The fourth proportional to 2,310.05, 3,465.68 and 666.73 is: 1,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.05 : 3,465.68 = 666.73 : x
  2. Step 2: Convert to fraction form
    2,310.05/3,465.68 = 666.73/x
  3. Step 3: Cross multiply
    2,310.05x = 3,465.68 × 666.73
  4. Step 4: Simplify right side
    2,310.05x = 2,310,672.83
  5. Step 5: Solve for x
    x = 2,310,672.83/2,310.05
  6. Step 6: Final answer
    x = 1,000.27

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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.