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Finding the Fourth Proportional to 1,966.80, 2,950.16 and 505.92

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Solution

The fourth proportional to 1,966.80, 2,950.16 and 505.92 is: 758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,950.16 = 505.92 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,950.16 = 505.92/x
  3. Step 3: Cross multiply
    1,966.80x = 2,950.16 × 505.92
  4. Step 4: Simplify right side
    1,966.80x = 1,492,544.95
  5. Step 5: Solve for x
    x = 1,492,544.95/1,966.80
  6. Step 6: Final answer
    x = 758.87

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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.