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Finding the Fourth Proportional to 1,966.69, 2,950.10 and 667.99

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Solution

The fourth proportional to 1,966.69, 2,950.10 and 667.99 is: 1,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.69 : 2,950.10 = 667.99 : x
  2. Step 2: Convert to fraction form
    1,966.69/2,950.10 = 667.99/x
  3. Step 3: Cross multiply
    1,966.69x = 2,950.10 × 667.99
  4. Step 4: Simplify right side
    1,966.69x = 1,970,620.88
  5. Step 5: Solve for x
    x = 1,970,620.88/1,966.69
  6. Step 6: Final answer
    x = 1,002.00

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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.