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Finding the Fourth Proportional to 1,992.28, 2,988.68 and 1,870.80

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Solution

The fourth proportional to 1,992.28, 2,988.68 and 1,870.80 is: 2,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.28 : 2,988.68 = 1,870.80 : x
  2. Step 2: Convert to fraction form
    1,992.28/2,988.68 = 1,870.80/x
  3. Step 3: Cross multiply
    1,992.28x = 2,988.68 × 1,870.80
  4. Step 4: Simplify right side
    1,992.28x = 5,591,222.54
  5. Step 5: Solve for x
    x = 5,591,222.54/1,992.28
  6. Step 6: Final answer
    x = 2,806.44

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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.