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Finding the Fourth Proportional to 1,990.59, 2,986.02 and 691.62

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Solution

The fourth proportional to 1,990.59, 2,986.02 and 691.62 is: 1,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.59 : 2,986.02 = 691.62 : x
  2. Step 2: Convert to fraction form
    1,990.59/2,986.02 = 691.62/x
  3. Step 3: Cross multiply
    1,990.59x = 2,986.02 × 691.62
  4. Step 4: Simplify right side
    1,990.59x = 2,065,191.15
  5. Step 5: Solve for x
    x = 2,065,191.15/1,990.59
  6. Step 6: Final answer
    x = 1,037.48

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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.