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Finding the Fourth Proportional to 1,966.89, 2,950.35 and 506.07

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Solution

The fourth proportional to 1,966.89, 2,950.35 and 506.07 is: 759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.89 : 2,950.35 = 506.07 : x
  2. Step 2: Convert to fraction form
    1,966.89/2,950.35 = 506.07/x
  3. Step 3: Cross multiply
    1,966.89x = 2,950.35 × 506.07
  4. Step 4: Simplify right side
    1,966.89x = 1,493,083.62
  5. Step 5: Solve for x
    x = 1,493,083.62/1,966.89
  6. Step 6: Final answer
    x = 759.11

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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.