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Finding the Fourth Proportional to 1,988.20, 2,980.92 and 1,012.40

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Solution

The fourth proportional to 1,988.20, 2,980.92 and 1,012.40 is: 1,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.20 : 2,980.92 = 1,012.40 : x
  2. Step 2: Convert to fraction form
    1,988.20/2,980.92 = 1,012.40/x
  3. Step 3: Cross multiply
    1,988.20x = 2,980.92 × 1,012.40
  4. Step 4: Simplify right side
    1,988.20x = 3,017,883.41
  5. Step 5: Solve for x
    x = 3,017,883.41/1,988.20
  6. Step 6: Final answer
    x = 1,517.90

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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.