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Finding the Fourth Proportional to 3,299.66, 4,948.80 and 1,966.05

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Solution

The fourth proportional to 3,299.66, 4,948.80 and 1,966.05 is: 2,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.66 : 4,948.80 = 1,966.05 : x
  2. Step 2: Convert to fraction form
    3,299.66/4,948.80 = 1,966.05/x
  3. Step 3: Cross multiply
    3,299.66x = 4,948.80 × 1,966.05
  4. Step 4: Simplify right side
    3,299.66x = 9,729,566.95
  5. Step 5: Solve for x
    x = 9,729,566.95/3,299.66
  6. Step 6: Final answer
    x = 2,948.66

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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.